EP INTERMEDIATE ALGEBRA-ACCESS 18 WEEKS
13th Edition
ISBN: 9780135988657
Author: BITTINGER
Publisher: PEARSON CO
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 8.7, Problem 8ES
To determine
To calculate: The value of Hydrogen ion concentration of orange juice is it’s pH is
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Need J-L
Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are
used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the
number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in
km/100. The following data are representative of one study using drift bottles to study ocean currents.
x days
y km/100
72
14.7
203
35.6
76
32
5.3
94
19.5
11.7
(a) Verify that Ex = 477, Ey = 86.8, Ex? = 62,029, Ey? = 2028.68, Exy = 11036.6, and r= 0.93853.
Ex 477
Ey 86.8
Ex2 62029
Ey2 2028.68
Exy 11036.6
r 0.93853
(b) Use a 1% level of significance to test the claim p > 0. (Use 2 decimal places.)
t 8.15
critical t 4.54
Conclusion
O Reject the null hypothesis, there is sufficient evidence that p > 0.
O Reject the null hypothesis, there is insufficient evidence that p> 0.
O Fail to reject the null…
Ocean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands.
Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study
ocean currents.
x days
y km/100
71
76
31
92
203
14.2
19.6
5.8
11.2
35.9
(a) Verify that Ex = 473, Ey = 86.7, Ex = 61,451, Ey = 2033.69, Exy = 10995.7, and r 0.93868.
%3D
%3D
%3D
%3D
Σχ 1 473
ΣΥ| 86.7
Ex2 61451
Ey2 2033.69
Exy 10995.7
r0.93868
(b) Use a 1% level of significance to test the claim p > 0. (Use 2 decimal places.)
t 4.72
critical t 4.54
Conclusion
Reject the null hypothesis, there is sufficient evidence that p > 0.
O Reject the null hypothesis, there is insufficient evidence that p > 0.
Fail to reject…
Chapter 8 Solutions
EP INTERMEDIATE ALGEBRA-ACCESS 18 WEEKS
Ch. 8.1 - Evaluate expressions containing negative...Ch. 8.1 - Prob. 2SRCh. 8.1 - Prob. 1DECh. 8.1 - Prob. 2DECh. 8.1 - Prob. 3DECh. 8.1 - Prob. 4DECh. 8.1 - Prob. 5DECh. 8.1 - Prob. 6DECh. 8.1 - Prob. 1CCECh. 8.1 - Prob. 7DE
Ch. 8.1 - Prob. 8DECh. 8.1 - Prob. 9DECh. 8.1 - Prob. 1RCCh. 8.1 - Prob. 2RCCh. 8.1 - Determine whether each statement is true or...Ch. 8.1 - Prob. 4RCCh. 8.1 - Prob. 1CCCh. 8.1 - Prob. 2CCCh. 8.1 - Prob. 3CCCh. 8.1 - Prob. 4CCCh. 8.1 - a Graph.
1.
x
0
1
2
3
–1
–2
–3
Ch. 8.1 - Prob. 2ESCh. 8.1 - Prob. 3ESCh. 8.1 - Prob. 4ESCh. 8.1 - Prob. 5ESCh. 8.1 - Prob. 6ESCh. 8.1 - Prob. 7ESCh. 8.1 - Prob. 8ESCh. 8.1 - Prob. 9ESCh. 8.1 - Prob. 10ESCh. 8.1 - a Graph.
11.
Ch. 8.1 - Prob. 12ESCh. 8.1 - Prob. 13ESCh. 8.1 - Prob. 14ESCh. 8.1 - Prob. 15ESCh. 8.1 - Prob. 16ESCh. 8.1 - Prob. 17ESCh. 8.1 - Prob. 18ESCh. 8.1 - Prob. 19ESCh. 8.1 - Prob. 20ESCh. 8.1 - Prob. 21ESCh. 8.1 - Prob. 22ESCh. 8.1 - Prob. 23ESCh. 8.1 - Prob. 24ESCh. 8.1 - Prob. 25ESCh. 8.1 - Prob. 26ESCh. 8.1 - Prob. 27ESCh. 8.1 - Prob. 28ESCh. 8.1 - Prob. 29ESCh. 8.1 - Prob. 30ESCh. 8.1 - Prob. 31ESCh. 8.1 - Prob. 32ESCh. 8.1 - Prob. 33ESCh. 8.1 - Prob. 34ESCh. 8.1 - Prob. 35ESCh. 8.1 - Prob. 36ESCh. 8.1 - Prob. 37ESCh. 8.1 - Prob. 38ESCh. 8.1 - Prob. 39ESCh. 8.1 - Prob. 40ESCh. 8.1 - Simplify [J10] 90Ch. 8.1 - Prob. 42ESCh. 8.1 - Prob. 43ESCh. 8.1 - Prob. 44ESCh. 8.1 - Prob. 45ESCh. 8.1 - Prob. 46ESCh. 8.1 - Prob. 47ESCh. 8.1 - Prob. 48ESCh. 8.1 - Prob. 49ESCh. 8.1 - Prob. 50ESCh. 8.1 - Graph. y=2x+2xCh. 8.1 - Prob. 52ESCh. 8.1 - Prob. 53ESCh. 8.1 - Prob. 54ESCh. 8.1 - Graph both equation using the same set of...Ch. 8.1 - Prob. 56ESCh. 8.1 - Prob. 57ESCh. 8.2 - Given f(x)=x+5andg(x)=x21, find (fg)(x).Ch. 8.2 - Prob. 2DECh. 8.2 - Prob. 3DECh. 8.2 - Prob. 4DECh. 8.2 - Prob. 5DECh. 8.2 - Prob. 6DECh. 8.2 - Prob. 7DECh. 8.2 - Prob. 8DECh. 8.2 - Prob. 9DECh. 8.2 - Prob. 10DECh. 8.2 - Prob. 1CCECh. 8.2 - Prob. 2CCECh. 8.2 - Prob. 3CCECh. 8.2 - Prob. 4CCECh. 8.2 - Prob. 11DECh. 8.2 - Prob. 12DECh. 8.2 - Prob. 13DECh. 8.2 - Prob. 14DECh. 8.2 - Prob. 15DECh. 8.2 - Prob. 1RCCh. 8.2 - Prob. 2RCCh. 8.2 - Prob. 3RCCh. 8.2 - Prob. 4RCCh. 8.2 - Prob. 5RCCh. 8.2 - Prob. 6RCCh. 8.2 - Prob. 1CCCh. 8.2 - Prob. 2CCCh. 8.2 - Prob. 3CCCh. 8.2 - Prob. 4CCCh. 8.2 - Prob. 5CCCh. 8.2 - Prob. 6CCCh. 8.2 - Prob. 1ESCh. 8.2 - Prob. 2ESCh. 8.2 - Prob. 3ESCh. 8.2 - Prob. 4ESCh. 8.2 - Prob. 5ESCh. 8.2 - Prob. 6ESCh. 8.2 - Prob. 7ESCh. 8.2 - Prob. 8ESCh. 8.2 - Prob. 9ESCh. 8.2 - Prob. 10ESCh. 8.2 - Prob. 11ESCh. 8.2 - Prob. 12ESCh. 8.2 - Prob. 13ESCh. 8.2 - Prob. 14ESCh. 8.2 - Prob. 15ESCh. 8.2 - Prob. 16ESCh. 8.2 - Prob. 17ESCh. 8.2 - Prob. 18ESCh. 8.2 - Prob. 19ESCh. 8.2 - Prob. 20ESCh. 8.2 - Prob. 21ESCh. 8.2 - Prob. 22ESCh. 8.2 - Prob. 23ESCh. 8.2 - Prob. 24ESCh. 8.2 - Prob. 25ESCh. 8.2 - Prob. 26ESCh. 8.2 - Prob. 27ESCh. 8.2 - Prob. 28ESCh. 8.2 - c Determine whether each function is one-to-one....Ch. 8.2 - Prob. 30ESCh. 8.2 - Prob. 31ESCh. 8.2 - Prob. 32ESCh. 8.2 - Prob. 33ESCh. 8.2 - Prob. 34ESCh. 8.2 - Prob. 35ESCh. 8.2 - Prob. 36ESCh. 8.2 - d Determine whether each function is one-to-one....Ch. 8.2 - Prob. 38ESCh. 8.2 - Prob. 39ESCh. 8.2 - Prob. 40ESCh. 8.2 - Prob. 41ESCh. 8.2 - Prob. 42ESCh. 8.2 - Prob. 43ESCh. 8.2 - Prob. 44ESCh. 8.2 - Prob. 45ESCh. 8.2 - Prob. 46ESCh. 8.2 - Prob. 47ESCh. 8.2 - Prob. 48ESCh. 8.2 - Prob. 49ESCh. 8.2 - Prob. 50ESCh. 8.2 - e For each function, use composition to show that...Ch. 8.2 - Prob. 52ESCh. 8.2 - e For each function, use composition to show that...Ch. 8.2 - Prob. 54ESCh. 8.2 - Prob. 55ESCh. 8.2 - Prob. 56ESCh. 8.2 - Prob. 57ESCh. 8.2 - Find the inverse of the given function by thinking...Ch. 8.2 - Prob. 59ESCh. 8.2 - Prob. 60ESCh. 8.2 - Prob. 61ESCh. 8.2 - Prob. 62ESCh. 8.2 - Prob. 63ESCh. 8.2 - Prob. 64ESCh. 8.2 - Prob. 65ESCh. 8.2 - Prob. 66ESCh. 8.2 - Prob. 67ESCh. 8.2 - Prob. 68ESCh. 8.2 - Prob. 69ESCh. 8.2 - Prob. 70ESCh. 8.2 - Prob. 71ESCh. 8.2 - Prob. 72ESCh. 8.2 - Prob. 73ESCh. 8.2 - Prob. 74ESCh. 8.2 - Prob. 75ESCh. 8.2 - Prob. 76ESCh. 8.2 - In Exercise 75-78, Use a graphing calculator to...Ch. 8.2 - In Exercise 75-78, Use a graphing calculator to...Ch. 8.2 - In Exercises 7578, use a graphing calculator to...Ch. 8.2 - In Exercise 80 and 81, graph the inverse of f.Ch. 8.2 - In Exercise 80 and 81, graph the inverse of f.Ch. 8.2 - Prob. 82ESCh. 8.2 - 83. Refer to Exercise 82. Assume that f and g and...Ch. 8.3 - Prob. 1DECh. 8.3 - Prob. 2DECh. 8.3 - Prob. 3DECh. 8.3 - Prob. 4DECh. 8.3 - Prob. 5DECh. 8.3 - Prob. 6DECh. 8.3 - Prob. 7DECh. 8.3 - Prob. 8DECh. 8.3 - Prob. 9DECh. 8.3 - Prob. 10DECh. 8.3 - Prob. 11DECh. 8.3 - Prob. 12DECh. 8.3 - Prob. 13DECh. 8.3 - Prob. 14DECh. 8.3 - Prob. 15DECh. 8.3 - Prob. 16DECh. 8.3 - Prob. 17DECh. 8.3 - Prob. 18DECh. 8.3 - Prob. 19DECh. 8.3 - Prob. 20DECh. 8.3 - Prob. 21DECh. 8.3 - Prob. 22DECh. 8.3 - Prob. 23DECh. 8.3 - Find log1000andlog10,000 without using a...Ch. 8.3 - Prob. 25DECh. 8.3 - Find 104.8934 using a calculator. (Compare your...Ch. 8.3 - Determine whether each statement is true or false....Ch. 8.3 - Determine whether each statement is true or false....Ch. 8.3 - Prob. 3RCCh. 8.3 - Prob. 4RCCh. 8.3 - Prob. 5RCCh. 8.3 - Prob. 6RCCh. 8.3 - Prob. 7RCCh. 8.3 - Prob. 8RCCh. 8.3 - Prob. 1CCCh. 8.3 - Prob. 2CCCh. 8.3 - Prob. 3CCCh. 8.3 - Prob. 4CCCh. 8.3 - Prob. 1ESCh. 8.3 - Prob. 2ESCh. 8.3 - Prob. 3ESCh. 8.3 - Prob. 4ESCh. 8.3 - Prob. 5ESCh. 8.3 - Prob. 6ESCh. 8.3 - Prob. 7ESCh. 8.3 - Prob. 8ESCh. 8.3 - Prob. 9ESCh. 8.3 - Prob. 10ESCh. 8.3 - Prob. 11ESCh. 8.3 - Prob. 12ESCh. 8.3 - Prob. 13ESCh. 8.3 - Prob. 14ESCh. 8.3 - Prob. 15ESCh. 8.3 - Prob. 16ESCh. 8.3 - Prob. 17ESCh. 8.3 - Prob. 18ESCh. 8.3 - Prob. 19ESCh. 8.3 - Prob. 20ESCh. 8.3 - Prob. 21ESCh. 8.3 - Prob. 22ESCh. 8.3 - Prob. 23ESCh. 8.3 - Prob. 24ESCh. 8.3 - Prob. 25ESCh. 8.3 - Prob. 26ESCh. 8.3 - Prob. 27ESCh. 8.3 - Prob. 28ESCh. 8.3 - Convert to an exponential equation
29.
Ch. 8.3 - Prob. 30ESCh. 8.3 - Prob. 31ESCh. 8.3 - Prob. 32ESCh. 8.3 - Prob. 33ESCh. 8.3 - Prob. 34ESCh. 8.3 - Prob. 35ESCh. 8.3 - Prob. 36ESCh. 8.3 - Prob. 37ESCh. 8.3 - Prob. 38ESCh. 8.3 - Prob. 39ESCh. 8.3 - Prob. 40ESCh. 8.3 - Prob. 41ESCh. 8.3 - Prob. 42ESCh. 8.3 - Prob. 43ESCh. 8.3 - Prob. 44ESCh. 8.3 - Prob. 45ESCh. 8.3 - Prob. 46ESCh. 8.3 - Prob. 47ESCh. 8.3 - Prob. 48ESCh. 8.3 - Prob. 49ESCh. 8.3 - Prob. 50ESCh. 8.3 - Prob. 51ESCh. 8.3 - Prob. 52ESCh. 8.3 - Prob. 53ESCh. 8.3 - Prob. 54ESCh. 8.3 - Prob. 55ESCh. 8.3 - Prob. 56ESCh. 8.3 - Prob. 57ESCh. 8.3 - Prob. 58ESCh. 8.3 - Prob. 59ESCh. 8.3 - Prob. 60ESCh. 8.3 - Prob. 61ESCh. 8.3 - Prob. 62ESCh. 8.3 - Prob. 63ESCh. 8.3 - Prob. 64ESCh. 8.3 - Prob. 65ESCh. 8.3 - Prob. 66ESCh. 8.3 - Prob. 67ESCh. 8.3 - Prob. 68ESCh. 8.3 - Prob. 69ESCh. 8.3 - Prob. 70ESCh. 8.3 - Prob. 71ESCh. 8.3 - Prob. 72ESCh. 8.3 - Prob. 73ESCh. 8.3 - d Find the common logarithm, to four decimal...Ch. 8.3 - Prob. 75ESCh. 8.3 - Prob. 76ESCh. 8.3 - Prob. 77ESCh. 8.3 - Prob. 78ESCh. 8.3 - Prob. 79ESCh. 8.3 - Prob. 80ESCh. 8.3 - Prob. 81ESCh. 8.3 - Prob. 82ESCh. 8.3 - Prob. 83ESCh. 8.3 - Prob. 84ESCh. 8.3 - Prob. 85ESCh. 8.3 - Prob. 86ESCh. 8.3 - Prob. 87ESCh. 8.3 - Prob. 88ESCh. 8.3 - Prob. 89ESCh. 8.3 - Prob. 90ESCh. 8.3 - Prob. 91ESCh. 8.3 - Prob. 92ESCh. 8.3 - Prob. 93ESCh. 8.3 - Prob. 94ESCh. 8.3 - Prob. 95ESCh. 8.3 - Prob. 96ESCh. 8.3 - Prob. 97ESCh. 8.3 - Prob. 98ESCh. 8.3 - Prob. 99ESCh. 8.3 - Prob. 100ESCh. 8.3 - Prob. 101ESCh. 8.4 - Prob. 1DECh. 8.4 - Prob. 2DECh. 8.4 - Prob. 3DECh. 8.4 - Prob. 4DECh. 8.4 - Prob. 5DECh. 8.4 - Prob. 6DECh. 8.4 - Prob. 7DECh. 8.4 - Prob. 8DECh. 8.4 - Prob. 1CCECh. 8.4 - Prob. 2CCECh. 8.4 - Prob. 3CCECh. 8.4 - Prob. 4CCECh. 8.4 - Prob. 5CCECh. 8.4 - Prob. 6CCECh. 8.4 - Prob. 7CCECh. 8.4 - Prob. 8CCECh. 8.4 - Prob. 9DECh. 8.4 - Prob. 10DECh. 8.4 - Express in terms of logarithms of w, x, y, and...Ch. 8.4 - Prob. 12DECh. 8.4 - Prob. 13DECh. 8.4 - Prob. 14DECh. 8.4 - Prob. 15DECh. 8.4 - Prob. 16DECh. 8.4 - Prob. 17DECh. 8.4 - Prob. 18DECh. 8.4 - Prob. 19DECh. 8.4 - Prob. 20DECh. 8.4 - Prob. 21DECh. 8.4 - Prob. 22DECh. 8.4 - Prob. 23DECh. 8.4 - Prob. 24DECh. 8.4 - Prob. 25DECh. 8.4 - Prob. 1RCCh. 8.4 - Prob. 2RCCh. 8.4 - Prob. 3RCCh. 8.4 - Prob. 4RCCh. 8.4 - Prob. 5RCCh. 8.4 - Prob. 6RCCh. 8.4 - Prob. 1CCCh. 8.4 - Prob. 2CCCh. 8.4 - Prob. 3CCCh. 8.4 - Prob. 4CCCh. 8.4 - Prob. 1ESCh. 8.4 - Prob. 2ESCh. 8.4 - Prob. 3ESCh. 8.4 - Prob. 4ESCh. 8.4 - Prob. 5ESCh. 8.4 - Prob. 6ESCh. 8.4 - Prob. 7ESCh. 8.4 - Prob. 8ESCh. 8.4 - Prob. 9ESCh. 8.4 - Prob. 10ESCh. 8.4 - Prob. 11ESCh. 8.4 - Prob. 12ESCh. 8.4 - Prob. 13ESCh. 8.4 - b Express as a product. log10y7Ch. 8.4 - Prob. 15ESCh. 8.4 - Prob. 16ESCh. 8.4 - Prob. 17ESCh. 8.4 - Prob. 18ESCh. 8.4 - Prob. 19ESCh. 8.4 - Prob. 20ESCh. 8.4 - Prob. 21ESCh. 8.4 - Prob. 22ESCh. 8.4 - Prob. 23ESCh. 8.4 - Prob. 24ESCh. 8.4 - Prob. 25ESCh. 8.4 - Prob. 26ESCh. 8.4 - Prob. 27ESCh. 8.4 - Prob. 28ESCh. 8.4 - Prob. 29ESCh. 8.4 - Prob. 30ESCh. 8.4 - Prob. 31ESCh. 8.4 - Prob. 32ESCh. 8.4 - Prob. 33ESCh. 8.4 - Prob. 34ESCh. 8.4 - Prob. 35ESCh. 8.4 - Prob. 36ESCh. 8.4 - Prob. 37ESCh. 8.4 - Prob. 38ESCh. 8.4 - Prob. 39ESCh. 8.4 - Prob. 40ESCh. 8.4 - Given find each of the following.
41.
Ch. 8.4 - Prob. 42ESCh. 8.4 - Prob. 43ESCh. 8.4 - Prob. 44ESCh. 8.4 - Prob. 45ESCh. 8.4 - Prob. 46ESCh. 8.4 - Prob. 47ESCh. 8.4 - Prob. 48ESCh. 8.4 - Prob. 49ESCh. 8.4 - Prob. 50ESCh. 8.4 - Prob. 51ESCh. 8.4 - Prob. 52ESCh. 8.4 - Prob. 53ESCh. 8.4 - Prob. 54ESCh. 8.4 - Prob. 55ESCh. 8.4 - Prob. 56ESCh. 8.4 - Prob. 57ESCh. 8.4 - Prob. 58ESCh. 8.4 - Prob. 59ESCh. 8.4 - Prob. 60ESCh. 8.4 - Prob. 61ESCh. 8.4 - Prob. 62ESCh. 8.4 - Prob. 63ESCh. 8.4 - Prob. 64ESCh. 8.4 - Prob. 65ESCh. 8.4 - Prob. 66ESCh. 8.4 - Prob. 67ESCh. 8.4 - Prob. 68ESCh. 8.4 - Prob. 69ESCh. 8.4 - Prob. 70ESCh. 8.4 - Prob. 1MCRCh. 8.4 - Prob. 2MCRCh. 8.4 - Prob. 3MCRCh. 8.4 - Prob. 4MCRCh. 8.4 - Prob. 5MCRCh. 8.4 - Prob. 6MCRCh. 8.4 - Prob. 7MCRCh. 8.4 - Prob. 8MCRCh. 8.4 - Prob. 9MCRCh. 8.4 - Prob. 10MCRCh. 8.4 - Prob. 11MCRCh. 8.4 - Prob. 12MCRCh. 8.4 - Prob. 13MCRCh. 8.4 - Prob. 14MCRCh. 8.4 - Prob. 15MCRCh. 8.4 - Prob. 16MCRCh. 8.4 - Prob. 17MCRCh. 8.4 - Prob. 18MCRCh. 8.4 - Prob. 19MCRCh. 8.4 - Prob. 20MCRCh. 8.4 - Prob. 21MCRCh. 8.4 - Prob. 22MCRCh. 8.4 - Prob. 23MCRCh. 8.4 - Prob. 24MCRCh. 8.4 - Prob. 25MCRCh. 8.4 - Prob. 26MCRCh. 8.4 - Find each of the following. [8.3c] log749Ch. 8.4 - Prob. 28MCRCh. 8.4 - Prob. 29MCRCh. 8.4 - Prob. 30MCRCh. 8.4 - Prob. 31MCRCh. 8.4 - Prob. 32MCRCh. 8.4 - Prob. 33MCRCh. 8.4 - Prob. 34MCRCh. 8.4 - Prob. 35MCRCh. 8.4 - Prob. 36MCRCh. 8.4 - Prob. 37MCRCh. 8.4 - Prob. 38MCRCh. 8.4 - Prob. 39UTDWCh. 8.4 - Prob. 40UTDWCh. 8.4 - Prob. 41UTDWCh. 8.4 - Prob. 42UTDWCh. 8.5 - Prob. 1DECh. 8.5 - Prob. 2DECh. 8.5 - Prob. 3DECh. 8.5 - Prob. 4DECh. 8.5 - Prob. 5DECh. 8.5 - Prob. 6DECh. 8.5 - Prob. 7DECh. 8.5 - Prob. 1SRCh. 8.5 - Prob. 2SRCh. 8.5 - Prob. 8DECh. 8.5 - Prob. 9DECh. 8.5 - Prob. 10DECh. 8.5 - Prob. 11DECh. 8.5 - Prob. 12DECh. 8.5 - Prob. 13DECh. 8.5 - Prob. 1CCECh. 8.5 - Prob. 2CCECh. 8.5 - Prob. 3CCECh. 8.5 - Prob. 4CCECh. 8.5 - Prob. 1VFSCh. 8.5 - Prob. 2VFSCh. 8.5 - Prob. 3VFSCh. 8.5 - Prob. 4VFSCh. 8.5 - Prob. 5VFSCh. 8.5 - Prob. 6VFSCh. 8.5 - Prob. 7VFSCh. 8.5 - Prob. 8VFSCh. 8.5 - Prob. 9VFSCh. 8.5 - Prob. 10VFSCh. 8.5 - Prob. 1RCCh. 8.5 - Prob. 2RCCh. 8.5 - Prob. 3RCCh. 8.5 - Prob. 4RCCh. 8.5 - Prob. 1CCCh. 8.5 - Prob. 2CCCh. 8.5 - Prob. 3CCCh. 8.5 - Prob. 4CCCh. 8.5 - a Find each of the following logarithms of powers,...Ch. 8.5 - Prob. 2ESCh. 8.5 - Prob. 3ESCh. 8.5 - Prob. 4ESCh. 8.5 - Prob. 5ESCh. 8.5 - Prob. 6ESCh. 8.5 - Prob. 7ESCh. 8.5 - Prob. 8ESCh. 8.5 - Prob. 9ESCh. 8.5 - Prob. 10ESCh. 8.5 - Prob. 11ESCh. 8.5 - Prob. 12ESCh. 8.5 - a Find each of the following logarithms of powers,...Ch. 8.5 - a Find each of the following logarithms of powers,...Ch. 8.5 - Prob. 15ESCh. 8.5 - Prob. 16ESCh. 8.5 - Prob. 17ESCh. 8.5 - Prob. 18ESCh. 8.5 - Prob. 19ESCh. 8.5 - Prob. 20ESCh. 8.5 - Prob. 21ESCh. 8.5 - Prob. 22ESCh. 8.5 - Prob. 23ESCh. 8.5 - Prob. 24ESCh. 8.5 - Prob. 25ESCh. 8.5 - Prob. 26ESCh. 8.5 - Prob. 27ESCh. 8.5 - Prob. 28ESCh. 8.5 - Prob. 29ESCh. 8.5 - Prob. 30ESCh. 8.5 - Prob. 31ESCh. 8.5 - Prob. 32ESCh. 8.5 - Prob. 33ESCh. 8.5 - Prob. 34ESCh. 8.5 - Prob. 35ESCh. 8.5 - Prob. 36ESCh. 8.5 - Prob. 37ESCh. 8.5 - Prob. 38ESCh. 8.5 - Prob. 39ESCh. 8.5 - Prob. 40ESCh. 8.5 - Prob. 41ESCh. 8.5 - Prob. 42ESCh. 8.5 - Prob. 43ESCh. 8.5 - Prob. 44ESCh. 8.5 - Prob. 45ESCh. 8.5 - Prob. 46ESCh. 8.5 - Prob. 47ESCh. 8.5 - Prob. 48ESCh. 8.5 - Prob. 49ESCh. 8.5 - Prob. 50ESCh. 8.5 - Prob. 51ESCh. 8.5 - Prob. 52ESCh. 8.5 - Prob. 53ESCh. 8.5 - Prob. 54ESCh. 8.5 - Prob. 55ESCh. 8.5 - Prob. 56ESCh. 8.5 - Prob. 57ESCh. 8.5 - Prob. 58ESCh. 8.5 - Prob. 59ESCh. 8.5 - Prob. 60ESCh. 8.5 - Prob. 61ESCh. 8.5 - Prob. 62ESCh. 8.5 - Prob. 63ESCh. 8.5 - Prob. 64ESCh. 8.5 - Prob. 65ESCh. 8.6 - Prob. 1DECh. 8.6 - Prob. 2DECh. 8.6 - Prob. 3DECh. 8.6 - Prob. 4DECh. 8.6 - Prob. 1SRCh. 8.6 - Prob. 2SRCh. 8.6 - Prob. 5DECh. 8.6 - Prob. 6DECh. 8.6 - Prob. 7DECh. 8.6 - Prob. 8DECh. 8.6 - Prob. 1RCCh. 8.6 - Determine whether each statement is true or false....Ch. 8.6 - Prob. 3RCCh. 8.6 - Prob. 4RCCh. 8.6 - Prob. 1CCCh. 8.6 - Prob. 2CCCh. 8.6 - Prob. 3CCCh. 8.6 - Prob. 4CCCh. 8.6 - Prob. 5CCCh. 8.6 - Prob. 6CCCh. 8.6 - a Solve. 2x=8Ch. 8.6 - Prob. 2ESCh. 8.6 - Prob. 3ESCh. 8.6 - Prob. 4ESCh. 8.6 - Prob. 5ESCh. 8.6 - Prob. 6ESCh. 8.6 - Prob. 7ESCh. 8.6 - Prob. 8ESCh. 8.6 - Prob. 9ESCh. 8.6 - Prob. 10ESCh. 8.6 - Prob. 11ESCh. 8.6 - Prob. 12ESCh. 8.6 - Prob. 13ESCh. 8.6 - Prob. 14ESCh. 8.6 - Prob. 15ESCh. 8.6 - Prob. 16ESCh. 8.6 - Prob. 17ESCh. 8.6 - Prob. 18ESCh. 8.6 - Prob. 19ESCh. 8.6 - Prob. 20ESCh. 8.6 - Prob. 21ESCh. 8.6 - Prob. 22ESCh. 8.6 - Prob. 23ESCh. 8.6 - Prob. 24ESCh. 8.6 - Prob. 25ESCh. 8.6 - Prob. 26ESCh. 8.6 - Prob. 27ESCh. 8.6 - Prob. 28ESCh. 8.6 - b Solve.
29.
Ch. 8.6 - Prob. 30ESCh. 8.6 - Prob. 31ESCh. 8.6 - Prob. 32ESCh. 8.6 - Prob. 33ESCh. 8.6 - Prob. 34ESCh. 8.6 - Prob. 35ESCh. 8.6 - Prob. 36ESCh. 8.6 - Prob. 37ESCh. 8.6 - Prob. 38ESCh. 8.6 - Prob. 39ESCh. 8.6 - Prob. 40ESCh. 8.6 - Prob. 41ESCh. 8.6 - Prob. 42ESCh. 8.6 - Prob. 43ESCh. 8.6 - b Solve. logx+log(x+9)=1Ch. 8.6 - Prob. 45ESCh. 8.6 - Prob. 46ESCh. 8.6 - Prob. 47ESCh. 8.6 - Prob. 48ESCh. 8.6 - Prob. 49ESCh. 8.6 - Prob. 50ESCh. 8.6 - Prob. 51ESCh. 8.6 - Prob. 52ESCh. 8.6 - Prob. 53ESCh. 8.6 - Prob. 54ESCh. 8.6 - Prob. 55ESCh. 8.6 - Prob. 56ESCh. 8.6 - Prob. 57ESCh. 8.6 - Prob. 58ESCh. 8.6 - Prob. 59ESCh. 8.6 - Prob. 60ESCh. 8.6 - Prob. 61ESCh. 8.6 - Prob. 62ESCh. 8.6 - Prob. 63ESCh. 8.6 - Prob. 64ESCh. 8.6 - Prob. 65ESCh. 8.6 - Prob. 66ESCh. 8.6 - Prob. 67ESCh. 8.6 - Prob. 68ESCh. 8.6 - Prob. 69ESCh. 8.6 - Prob. 70ESCh. 8.6 - Prob. 71ESCh. 8.6 - Prob. 72ESCh. 8.6 - Prob. 73ESCh. 8.6 - Prob. 74ESCh. 8.6 - Prob. 75ESCh. 8.6 - Prob. 76ESCh. 8.6 - Prob. 77ESCh. 8.6 - Prob. 78ESCh. 8.6 - Prob. 79ESCh. 8.6 - Prob. 80ESCh. 8.7 - Prob. 1DECh. 8.7 - Prob. 2DECh. 8.7 - Prob. 3DECh. 8.7 - Prob. 4DECh. 8.7 - Prob. 1SRCh. 8.7 - Prob. 2SRCh. 8.7 - Prob. 5DECh. 8.7 - Prob. 6DECh. 8.7 - Prob. 7DECh. 8.7 - Global Mobile Data Traffic. The amount of data...Ch. 8.7 - Prob. 9DECh. 8.7 - Prob. 1RCCh. 8.7 - Prob. 2RCCh. 8.7 - Prob. 3RCCh. 8.7 - Prob. 4RCCh. 8.7 - Prob. 1CCCh. 8.7 - Prob. 2CCCh. 8.7 - Prob. 3CCCh. 8.7 - Prob. 4CCCh. 8.7 - Prob. 1ESCh. 8.7 - Prob. 2ESCh. 8.7 - Prob. 3ESCh. 8.7 - Prob. 4ESCh. 8.7 - a Solve. Sound Levels. Use the decibel formula...Ch. 8.7 - Prob. 6ESCh. 8.7 - Prob. 7ESCh. 8.7 - Prob. 8ESCh. 8.7 - Prob. 9ESCh. 8.7 - Prob. 10ESCh. 8.7 - Prob. 11ESCh. 8.7 - Prob. 12ESCh. 8.7 - b Solve. Otter Population. Due primarily to the...Ch. 8.7 - Prob. 14ESCh. 8.7 - b Solve. Drug Overdose. Although primarily used...Ch. 8.7 - Prob. 16ESCh. 8.7 - Prob. 17ESCh. 8.7 - Prob. 18ESCh. 8.7 - Growth. Use the exponential growth model...Ch. 8.7 - Prob. 20ESCh. 8.7 - Prob. 21ESCh. 8.7 - Growth. Use the exponential growth model for...Ch. 8.7 - Carbon Dating. Use the carbon-14 decay function ...Ch. 8.7 - Prob. 24ESCh. 8.7 - Prob. 25ESCh. 8.7 - Prob. 26ESCh. 8.7 - Prob. 27ESCh. 8.7 - Prob. 28ESCh. 8.7 - Prob. 29ESCh. 8.7 - Prob. 30ESCh. 8.7 - Prob. 31ESCh. 8.7 - Prob. 32ESCh. 8.7 - Prob. 33ESCh. 8.7 - Prob. 34ESCh. 8.7 - Prob. 35ESCh. 8.7 - Prob. 36ESCh. 8.7 - Prob. 37ESCh. 8.7 - Prob. 38ESCh. 8.7 - Prob. 39ESCh. 8.7 - Prob. 40ESCh. 8.7 - Prob. 41ESCh. 8.7 - Prob. 42ESCh. 8.7 - Prob. 43ESCh. 8.7 - Prob. 44ESCh. 8.7 - Prob. 45ESCh. 8.7 - Prob. 46ESCh. 8.7 - Prob. 1TFSCh. 8.7 - Prob. 2TFSCh. 8.7 - Prob. 3TFSCh. 8.7 - Prob. 4TFSCh. 8.7 - Prob. 5TFSCh. 8.7 - Prob. 6TFSCh. 8.7 - Prob. 7TFSCh. 8.7 - Prob. 8TFSCh. 8.7 - Prob. 9TFSCh. 8.7 - The goal of these matching questions is to...Ch. 8 - Complete each statement with the correct term from...Ch. 8 - Prob. 2VRCh. 8 - Prob. 3VRCh. 8 - Prob. 4VRCh. 8 - Prob. 5VRCh. 8 - Prob. 6VRCh. 8 - Prob. 1CORCh. 8 - Prob. 2CORCh. 8 - Prob. 3CORCh. 8 - Prob. 4CORCh. 8 - Prob. 5CORCh. 8 - Prob. 6CORCh. 8 - Prob. 1SGPECh. 8 - Prob. 2SGPECh. 8 - Prob. 3SGPECh. 8 - Prob. 4SGPECh. 8 - Prob. 5SGPECh. 8 - Prob. 6SGPECh. 8 - Prob. 7SGPECh. 8 - Prob. 8SGPECh. 8 - Prob. 9SGPECh. 8 - Prob. 10SGPECh. 8 - Prob. 11SGPECh. 8 - Prob. 12SGPECh. 8 - Prob. 13SGPECh. 8 - Prob. 1RECh. 8 - Prob. 2RECh. 8 - Prob. 3RECh. 8 - Prob. 4RECh. 8 - Prob. 5RECh. 8 - Prob. 6RECh. 8 - Prob. 7RECh. 8 - Prob. 8RECh. 8 - Prob. 9RECh. 8 - Prob. 10RECh. 8 - Prob. 11RECh. 8 - Prob. 12RECh. 8 - Prob. 13RECh. 8 - Prob. 14RECh. 8 - Prob. 15RECh. 8 - Prob. 16RECh. 8 - Prob. 17RECh. 8 - Prob. 18RECh. 8 - Prob. 19RECh. 8 - Prob. 20RECh. 8 - Prob. 21RECh. 8 - Prob. 22RECh. 8 - Prob. 23RECh. 8 - Prob. 24RECh. 8 - Prob. 25RECh. 8 - Prob. 26RECh. 8 - Prob. 27RECh. 8 - Prob. 28RECh. 8 - Prob. 29RECh. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RECh. 8 - Prob. 33RECh. 8 - Prob. 34RECh. 8 - Prob. 35RECh. 8 - Prob. 36RECh. 8 - Prob. 37RECh. 8 - Prob. 38RECh. 8 - Prob. 39RECh. 8 - Prob. 40RECh. 8 - Prob. 41RECh. 8 - Prob. 42RECh. 8 - Prob. 43RECh. 8 - Prob. 44RECh. 8 - Prob. 45RECh. 8 - Prob. 46RECh. 8 - Prob. 47RECh. 8 - Prob. 48RECh. 8 - Prob. 49RECh. 8 - Prob. 50RECh. 8 - Prob. 51RECh. 8 - Prob. 52RECh. 8 - Prob. 53RECh. 8 - Prob. 54RECh. 8 - Prob. 55RECh. 8 - Prob. 56RECh. 8 - Prob. 57RECh. 8 - Prob. 58RECh. 8 - Prob. 59RECh. 8 - Prob. 60RECh. 8 - Prob. 61RECh. 8 - Prob. 62RECh. 8 - 1. Explain how the graph of could be used to...Ch. 8 - Christina first determines that the solution of...Ch. 8 - 3. An organization determines that the cost per...Ch. 8 - Prob. 4UTDWCh. 8 - Prob. 5UTDWCh. 8 - Prob. 6UTDWCh. 8 - Prob. 1TCh. 8 - Prob. 2TCh. 8 - Prob. 3TCh. 8 - Prob. 4TCh. 8 - Prob. 5TCh. 8 - Prob. 6TCh. 8 - Determine whether each function is one-to-one. If...Ch. 8 - Prob. 8TCh. 8 - Determine whether each function is one-to-one. If...Ch. 8 - Prob. 10TCh. 8 - Convert to an exponential equation: m=log749.Ch. 8 - Prob. 12TCh. 8 - Prob. 13TCh. 8 - Prob. 14TCh. 8 - Prob. 15TCh. 8 - Prob. 16TCh. 8 - Prob. 17TCh. 8 - Prob. 18TCh. 8 - Given loga2=0.301,loga7=0.845, find each of the...Ch. 8 - Given find each of the following.
20.
Ch. 8 - Prob. 21TCh. 8 - Prob. 22TCh. 8 - Prob. 23TCh. 8 - Prob. 24TCh. 8 - Prob. 25TCh. 8 - Prob. 26TCh. 8 - Prob. 27TCh. 8 - Prob. 28TCh. 8 - Prob. 29TCh. 8 - Prob. 30TCh. 8 - Prob. 31TCh. 8 - Tomatoes. What is the pH of tomatoes if the...Ch. 8 - Prob. 33TCh. 8 - Prob. 34TCh. 8 - Prob. 35TCh. 8 - 36. How old is an animal bone that has lost 43% of...Ch. 8 - Prob. 37TCh. 8 - Prob. 38TCh. 8 - Prob. 39TCh. 8 - Prob. 1CRCh. 8 - Prob. 2CRCh. 8 - Prob. 3CRCh. 8 - Prob. 4CRCh. 8 - Prob. 5CRCh. 8 - Prob. 6CRCh. 8 - Prob. 7CRCh. 8 - Prob. 8CRCh. 8 - Prob. 9CRCh. 8 - Prob. 10CRCh. 8 - Prob. 11CRCh. 8 - Prob. 12CRCh. 8 - Prob. 13CRCh. 8 - Prob. 14CRCh. 8 - Prob. 15CRCh. 8 - Prob. 16CRCh. 8 - Prob. 17CRCh. 8 - Prob. 18CRCh. 8 - Prob. 19CRCh. 8 - Prob. 20CRCh. 8 - Marine Travel. A fishing boat with a trolling...Ch. 8 - Population Growth. The population of Spain was...Ch. 8 - Landscaping. A rectangular lawn measures 60 ft by...Ch. 8 - Prob. 24CRCh. 8 - Prob. 25CRCh. 8 - Prob. 26CRCh. 8 - Prob. 27CRCh. 8 - Prob. 28CRCh. 8 - Prob. 29CRCh. 8 - Prob. 30CRCh. 8 - Prob. 31CRCh. 8 - Prob. 32CRCh. 8 - Prob. 33CRCh. 8 - Prob. 34CRCh. 8 - Prob. 35CRCh. 8 - Prob. 36CRCh. 8 - Prob. 37CRCh. 8 - Prob. 38CRCh. 8 - Prob. 39CRCh. 8 - Prob. 40CRCh. 8 - Prob. 41CRCh. 8 - Prob. 42CRCh. 8 - Prob. 43CRCh. 8 - Prob. 44CRCh. 8 - Prob. 45CRCh. 8 - Prob. 46CRCh. 8 - Prob. 47CRCh. 8 - Prob. 48CRCh. 8 - Prob. 49CRCh. 8 - Prob. 50CRCh. 8 - Prob. 51CRCh. 8 - Prob. 52CRCh. 8 - Prob. 53CRCh. 8 - Prob. 54CRCh. 8 - Prob. 55CRCh. 8 - Prob. 56CRCh. 8 - Prob. 57CRCh. 8 - Prob. 58CRCh. 8 - Train Travel A train travels 280 mi at a certain...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Similar questions
- Weight Versus Height The following data show the height h, in inches, and weight w, in pounds, of an average adult male. h 61 62 66 68 70 72 74 75 w 131 133 143 149 155 162 170 175 a Make a power model for weight versus height. b According to the model from part a, what percentage increase in weight can be expected if height is increased by 10?arrow_forwardThe Decibel scale Exercise S-7 through S-10 refer to the decibel scale. If one sound has a relative intensity one-tenth that of another, how do their decibel levels compare?arrow_forwardRunning Speed A man is running around a circular track that is 200 m in circumference. An observer uses a stopwatch to record the runners time at the end of each lap, obtaining the data in the following table. aWhat was the mans average speed rate between 68 s and 152 s? bWhat was the mans average speed between 263 s and 412 s? cCalculate the mans speed for each lap. Is he slowing down, speeding up or neither? Time s Distance m 32 200 68 400 108 600 152 800 203 1000 263 1200 335 1400 412 1600arrow_forward
- Find the intensities of earthquakes whose magnitudes are (a) R=6.0 and (b) R=7.9.arrow_forwardUse the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.arrow_forwardThe Kelvin Temperature Scale Physicists and chemists often use the Kelvin temperature scale. In order to determine the relationship between the Fahrenheit and Kelvin temperature scales, a lab assistant put Fahrenheit and Kelvin thermometers side by side and took readings at various temperatures. The following data were recorded. K = kelvins F = degrees Fahrenheit 200 -99.67 220 -63.67 240 -27.67 260 8.33 280 44.33 300 80.33 a. Show that the temperature F in degrees Fahrenheit is a linear function of the temperature K in kelvins. b. What is the slope of this linear function? Note: Be sure to take into account that the table lists kelvins in jumps of 20 rather than in jumps of 1. c. Find a formula for the linear function. d. Normal body temperature is 98.6 degrees Fahrenheit. What is that temperature in kelvins? e. If temperature increases by 1 kelvin, by how many degrees Fahrenheit does it increase? If temperature increases by 1 degree Fahrenheit, by how many kelvins does it increase? f. The temperature of 0 kelvins is known as absolute zero. It is not quite accurate to say that all molecular motion ceases at absolute zero, but at that temperature the system has its minimum possible total energy. It is thought that absolute zero cannot be attained experimentally, although temperatures lower than 0.0000001 kelvin have been attained. Find the temperature of absolute zero in degrees Fahrenheit.arrow_forward
- aThe average rate of change of a function f between x=a and x=b is the slope of the ___________ line between (a,f(a)) and (b,f(b)).arrow_forwardCable TV The following table shows the number C. in millions, of basic subscribers to cable TV in the indicated year These data are from the Statistical Abstract of the United States. Year 1975 1980 1985 1990 1995 2000 C 9.8 17.5 35.4 50.5 60.6 60.6 a. Use regression to find a logistic model for these data. b. By what annual percentage would you expect the number of cable subscribers to grow in the absence of limiting factors? c. The estimated number of subscribers in 2005 was 65.3million. What light does this shed on the model you found in part a?arrow_forwardbThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.arrow_forward
- Population Growth and Decline The table gives the population in a small coastal community for the period 1997-2006. Figures shown arc for January 1 in each year. (a) What was the average rate of change of population between 1998 and 2001? (b) What was the average rate of change of population between 2002 and 2004? (C) For what period of lime was the population increasing? (d) For what period of time was the population decreasing?arrow_forwardWorld Population The following table shows world population N, in billions, in the given year. Year 1950 1960 1970 1980 1990 2000 2010 N 2.56 3.04 3.71 4.45 5.29 6.09 6.85 a. Use regression to find a logistic model for world population. b. What r value do these data yield for humans on planet Earth? c. According to the logistic model using these data, what is the carrying capacity of planet Earth for humans? d. According to this model, when will world population reach 90 of carrying capacity? Round to the nearest year. Note: This represents a rather naive analysis of world population.arrow_forwardOcean currents are important in studies of climate change, as well as ecology studies of dispersal of plankton. Drift bottles are used to study ocean currents in the Pacific near Hawaii, the Solomon Islands, New Guinea, and other islands. Let x represent the number of days to recovery of a drift bottle after release and y represent the distance from point of release to point of recovery in km/100. The following data are representative of one study using drift bottles to study ocean currents. x days y km/100 71 76 31 92 203 14.2 19.6 5.8 11.2 35.9 (a) Verify that Ex = 473, Ey = 86.7, Ex² = 61,451, Ey? 2033.69, Exy = 10995.7, and r 0.93868. %3D %3D %3D %3D %3D Σχ Ey Ex? Ey2 Σχy (b) Use a 1% level of significance to test the claim p > 0. (Use 2 decimal places.) critical t Conclusion Reject the null hypothesis, there is sufficient evidence that p > 0. Reject the null hypothesis, there is insufficient evidence that p > 0. O Fail to reject the null hypothesis, there is insufficient evidence…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillFunctions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningCollege AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY