PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
8th Edition
ISBN: 9781337904285
Author: Larson
Publisher: CENGAGE L
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Question
Chapter 3.3, Problem 54E
a)
To determine
To graph:
The given two functions on the same viewing rectangle.
a)
Expert Solution
Answer to Problem 54E
The required graph is:
Explanation of Solution
Given:
Two logarithmic functions:
Calculation:
Upon entering the given two equations on the TI-84 Plus calculator and then graphing them, we get the required graph as shown below:
b)
To determine
To create:
A table of values for the given functions and the graphs using the ‘table’ feature of the calculator.
b)
Expert Solution
Answer to Problem 54E
The required table is:
Explanation of Solution
Given:
Two logarithmic functions:
Upon using the ‘table’ feature of the calculator, we get the tables for the given two functions as shown below:
c)
To determine
To conclude:
What do the graphs in part (a) and tables in part (b) conclude about the given two functions? Verify the conclusion algebraically.
c)
Expert Solution
Answer to Problem 54E
Both the functions have the same graph and the same table. Hence both the functions are equivalent to each other.
Explanation of Solution
Given:
Two logarithmic functions:
From the graphs in part (a) and the tables in part (b), we can see that both the functions are equivalent to each others.
Algebraic verification:
Upon simplifying the first function using properties of logarithm, we get the second function.
Hence, we have verified algebraically that both the functions are the same.
Chapter 3 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
Ch. 3.1 - Prob. 1ECh. 3.1 - Prob. 2ECh. 3.1 - Prob. 3ECh. 3.1 - Prob. 4ECh. 3.1 - Prob. 5ECh. 3.1 - Prob. 6ECh. 3.1 - Prob. 7ECh. 3.1 - Prob. 8ECh. 3.1 - Prob. 9ECh. 3.1 - Prob. 10E
Ch. 3.1 - Prob. 11ECh. 3.1 - Prob. 12ECh. 3.1 - Prob. 13ECh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.1 - Prob. 51ECh. 3.1 - Prob. 52ECh. 3.1 - Prob. 53ECh. 3.1 - Prob. 54ECh. 3.1 - Prob. 55ECh. 3.1 - Prob. 56ECh. 3.1 - Prob. 57ECh. 3.1 - Prob. 58ECh. 3.1 - Prob. 59ECh. 3.1 - Prob. 60ECh. 3.1 - Prob. 61ECh. 3.1 - Prob. 62ECh. 3.1 - Prob. 63ECh. 3.1 - 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- Use of Science Use of Engineering Use of Mathematics the (first moment about y-axis and center of mass, x) correctly without errors Determining the (first moment about y-axis and center of mass, x) correctly without errors Correctly solve all equations to determine (first moment about y- axis and center of mass, x) determine the (first moment about y- axis and center of mass, x) with minor errors Determining the determine the (first moment about y- axis and center of mass, x) with major errors Determining the formula to determine the (first moment about y- axis and center of mass, x) correctly Cannot able to (first moment about (first moment about Determine the y-axis and center of y-axis and center of mass, x) with minor mass, x) with major errors Correctly solve the majority of equations to determine (first moment about y- axis and center of mass, x) errors Correctly solve some of equations to determine (first moment about y- axis and center of mass, x) (first moment about y-axis and…arrow_forwardمشدد on tha Find the first moment about y-axis (My) and center of mass (x) of the region bounded by the line y = x, and the line x = 1, and x-axis. includearrow_forward: +00 العنوان 개 JR2 Find the first moment about y-axis (My) and center of mass (x) of the region bounded by the line y = x, and the line x = 1, and x-axis. includearrow_forward
- Find the first moment about y-axis (My) and center of mass (X) of the region bounded by the line y = x, and the line x = 1, and x-axis. Rnd 0arrow_forwardQuestion 2 If A(t) = 3t² i − (t + 4); + (t² - 2t)k and B (t) = sinti +3ej-3 cos tk, find (A x B) at t-0 dta Ans: -301+14j + 20karrow_forwardQuestion 2 If A(t) = 3t² i − (t + 4); + (t² - 2t)k and B (t) = sinti +3ej-3 cos tk, find (A x B) at t-0 dta Ans: -301+14j + 20karrow_forward
- Calculate the following integrals, subject to the following rules: ⚫ you must use integration by parts at least once (clearly labeling where it is used), • you must use a partial fraction decomposition at least once (clearly showing all steps), and • you must use a trigonometric substitution at least once A. A/2² x² ex cos xdx √20 20-22 B. -dz z4 x² - C. x3 - 2x2 2x2 - 2x + 3 3x6 linear term and quadratic term) dx (Hint: the denominator factors into aarrow_forwardplease evaluate both of the given integrals and state the technique used for integrals like this when they break the definition of a definite integralarrow_forwardFor what values of p is the following series convergent? Justify your answer. ∞ (−1) k-1 (In k)P k k=2arrow_forward
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