Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
13th Edition
ISBN: 9780321869838
Author: Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen
Publisher: PEARSON
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Textbook Question
Chapter 8.2, Problem 17E
Find the indicated derivatives in Problems 9–26.
17.
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please be detailed with the solutions (I really need to know what you did in each step) and please solve the questions. (no explanation with just words)
>tt 1:32
> trend.1m 1m (sales
> summary(trend.1m)
-
tt) #3###23 (i) ####
Coefficients:
Estimate Std. Error t value Pr(>|t|)
(Intercept) 2107.220
57.997 36.332e-16 ***
tt
-43.500
3.067 -14.18 7.72e-15 ***
> trend = ts (fitted (trend.1m), start-start (sales), freq-frequency (sales))
sales trend ###23%23 (ii) ####
as.numeric((1:32 %% 4)
> X
> q1
> q2
> q3
> 94
=
=
=
=
-
as.numeric((1:32 %% 4)
as.numeric((1:32 %% 4)
as.numeric((1:32 %% 4)
== 1)
2)
==
== 3)
==
0)
> season.lm = 1m (resid (trend.1m) 0+q1 + q2 + q3 + q4) #3##23%23 (iii) ####
> summary(season.1m)
Coefficients:
Estimate Std. Error t value Pr(>|t|)
q1
-38.41
43.27 -0.888 0.38232
92
18.80
43.27
0.435 0.66719
q3
-134.78
43.27
-3.115 0.00422 **
94
154.38
43.27 3.568
0.00132 **
> season = ts (fitted (season.lm), start=start (sales), freq=frequency (sales))
> Y X season %23%23%23%23 (iv) ####
>ar (Y, aic=FALSE, order.max=1) #23%23%23%23 (v) ####
Coefficients:
1
0.5704
Order selected 1 sigma 2 estimated as 9431
> ar(Y, aic=FALSE,…
Please sketch questions 1, 2 and 6
Chapter 8 Solutions
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Ch. 8.1 - Find the degree measure of 1 rad.Ch. 8.1 - Prob. 2MPCh. 8.1 - Prob. 3MPCh. 8.1 - Prob. 1EDCh. 8.1 - Prob. 1ECh. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - In Problems 18, mentally convert each degree...
Ch. 8.1 - In Problems 18, mentally convert each degree...Ch. 8.1 - Prob. 8ECh. 8.1 - Prob. 9ECh. 8.1 - Prob. 10ECh. 8.1 - Prob. 11ECh. 8.1 - Prob. 12ECh. 8.1 - Prob. 13ECh. 8.1 - Prob. 14ECh. 8.1 - Prob. 15ECh. 8.1 - Prob. 16ECh. 8.1 - Prob. 17ECh. 8.1 - Prob. 18ECh. 8.1 - Prob. 19ECh. 8.1 - Prob. 20ECh. 8.1 - Prob. 21ECh. 8.1 - Prob. 22ECh. 8.1 - Prob. 23ECh. 8.1 - Prob. 24ECh. 8.1 - Prob. 25ECh. 8.1 - Prob. 26ECh. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - Prob. 30ECh. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - Prob. 33ECh. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - Prob. 39ECh. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - In Problems 27-42, find the exact value of each...Ch. 8.1 - In Problems 4354, use a calculator in radian or...Ch. 8.1 - In Problems 4354, use a calculator in radian or...Ch. 8.1 - In Problems 4354, use a calculator in radian or...Ch. 8.1 - In Problems 4354, use a calculator in radian or...Ch. 8.1 - In Problems 4354, use a calculator in radian or...Ch. 8.1 - Prob. 48ECh. 8.1 - In Problems 4354, use a calculator in radian or...Ch. 8.1 - Prob. 50ECh. 8.1 - In Problems 4354, use a calculator in radian or...Ch. 8.1 - In Problems 4354, use a calculator in radian or...Ch. 8.1 - In Problems 4354, use a calculator in radian or...Ch. 8.1 - In Problems 4354, use a calculator in radian or...Ch. 8.1 - In Problems 5558, use a graphing calculator set in...Ch. 8.1 - In Problems 5558, use a graphing calculator set in...Ch. 8.1 - In Problems 5558, use a graphing calculator set in...Ch. 8.1 - In Problems 5558, use a graphing calculator set in...Ch. 8.1 - Find the domain of the tangent function.Ch. 8.1 - Find the domain of the cotangent function.Ch. 8.1 - Find the domain of the secant function.Ch. 8.1 - Prob. 62ECh. 8.1 - Explain why the range of the cosecant function is...Ch. 8.1 - Explain why the range of the secant function is...Ch. 8.1 - Explain why the range of the cotangent function is...Ch. 8.1 - Explain why the range of the tangent function is...Ch. 8.1 - Seasonal business cycle. Suppose that profits on...Ch. 8.1 - Seasonal business cycle. Revenues from sales of a...Ch. 8.1 - Prob. 69ECh. 8.1 - Pollution. In a large city, the amount of sulfur...Ch. 8.1 - Prob. 71ECh. 8.2 - Find each of the following derivatives:...Ch. 8.2 - Find the slope of the graph of f(x) = cos x at...Ch. 8.2 - Find ddxcscx.Ch. 8.2 - Suppose that revenues from the sale of ski jackets...Ch. 8.2 - Prob. 1EDCh. 8.2 - In Problems 14, by inspecting a graph of y = sin x...Ch. 8.2 - In Problems 14, by inspecting a graph of y = sin x...Ch. 8.2 - In Problems 14, by inspecting a graph of y = sin x...Ch. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - In Problems 58, by inspecting a graph of y = sin x...Ch. 8.2 - In Problems 58, by inspecting a graph of y = sin x...Ch. 8.2 - In Problems 58, by inspecting a graph of y = sin x...Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Prob. 22ECh. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Find the indicated derivatives in Problems 926....Ch. 8.2 - Prob. 26ECh. 8.2 - Find the slope of the graph of f(x) = sin x at x =...Ch. 8.2 - Find the slope of the graph of f(x) = cos x at x =...Ch. 8.2 - Prob. 29ECh. 8.2 - From the graph of y = f'(x) on the next page,...Ch. 8.2 - Prob. 31ECh. 8.2 - Find the indicated derivatives in Problems 3138....Ch. 8.2 - Find the indicated derivatives in Problems 3138....Ch. 8.2 - Find the indicated derivatives in Problems 3138....Ch. 8.2 - Find the indicated derivatives in Problems 3138....Ch. 8.2 - Find the indicated derivatives in Problems 3138....Ch. 8.2 - Find the indicated derivatives in Problems 3138....Ch. 8.2 - Find the indicated derivatives in Problems 3138....Ch. 8.2 - In Problems 39 and 40, find f(x). 39.f(x) = ex sin...Ch. 8.2 - Prob. 40ECh. 8.2 - In Problems 4146, graph each function on a...Ch. 8.2 - In Problems 4146, graph each function on a...Ch. 8.2 - Prob. 43ECh. 8.2 - In Problems 4146, graph each function on a...Ch. 8.2 - In Problems 4146, graph each function on a...Ch. 8.2 - In Problems 4146, graph each function on a...Ch. 8.2 - Profit. Suppose that profits on the sale of...Ch. 8.2 - Revenue. Revenues from sales of a soft drink over...Ch. 8.2 - Physiology. A normal seated adult inhales and...Ch. 8.2 - Pollution. In a large city, the amount of sulfur...Ch. 8.3 - Find the area under the cosine curve y = cos x...Ch. 8.3 - Find cos20tdt.Ch. 8.3 - Find sinxcosxdx.Ch. 8.3 - Prob. 4MPCh. 8.3 - Suppose that revenues from the sale of ski jackets...Ch. 8.3 - Prob. 1ECh. 8.3 - In Problems 18, by using only the unit circle...Ch. 8.3 - In Problems 18, by using only the unit circle...Ch. 8.3 - In Problems 18, by using only the unit circle...Ch. 8.3 - In Problems 18, by using only the unit circle...Ch. 8.3 - In Problems 18, by using only the unit circle...Ch. 8.3 - In Problems 18, by using only the unit circle...Ch. 8.3 - Prob. 8ECh. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Prob. 13ECh. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Prob. 18ECh. 8.3 - Evaluate each of the definite integrals in...Ch. 8.3 - Evaluate each of the definite integrals in...Ch. 8.3 - Evaluate each of the definite integrals in...Ch. 8.3 - Evaluate each of the definite integrals in...Ch. 8.3 - Find the shaded area under the cosine curve in the...Ch. 8.3 - Find the shaded area under the sine curve in the...Ch. 8.3 - Use a calculator to evaluate the definite...Ch. 8.3 - Prob. 26ECh. 8.3 - Use a calculator to evaluate the definite...Ch. 8.3 - Prob. 28ECh. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Find each of the indefinite integrals in Problems...Ch. 8.3 - Given the definite integral I=03exsinxdx (A)Graph...Ch. 8.3 - Given the definite integral I=03excosxdx (A)Graph...Ch. 8.3 - Seasonal business cycle. Suppose that profits on...Ch. 8.3 - Seasonal business cycle. Revenues from sales of a...Ch. 8.3 - Pollution. In a large city, the amount of sulfur...Ch. 8 - Convert to radian measure in terms of : (A) 30(B)...Ch. 8 - Evaluate without using a calculator: (A) cos (B)...Ch. 8 - In Problems 36, find each derivative or integral....Ch. 8 - In Problems 36, find each derivative or integral....Ch. 8 - Prob. 5RECh. 8 - In Problems 36, find each derivative or integral....Ch. 8 - Convert to degree measure: (A) /6(B) /4(C) /3(D)...Ch. 8 - Evaluate without using a calculator: (A) sin6(B)...Ch. 8 - Evaluate with the use of a calculator: (A) cos...Ch. 8 - In Problems 1218, find each derivative or...Ch. 8 - In Problems 1218, find each derivative or...Ch. 8 - In Problems 1218, find each derivative or...Ch. 8 - Prob. 13RECh. 8 - In Problems 1218, find each derivative or...Ch. 8 - Prob. 15RECh. 8 - In Problems 1218, find each derivative or...Ch. 8 - Prob. 17RECh. 8 - Find the area under the sine curve y = sin x from...Ch. 8 - Given the definite integral I=15sinxxdx (A)Graph...Ch. 8 - Convert 15 to radian measure.Ch. 8 - Evaluate without using a calculator: (A) sin32 (B)...Ch. 8 - Prob. 22RECh. 8 - In Problems 2428, find each derivative or...Ch. 8 - In Problems 2428, find each derivative or...Ch. 8 - In Problems 2428, find each derivative or...Ch. 8 - In Problems 2428, find each derivative or...Ch. 8 - In Problems 2931, graph each function on a...Ch. 8 - In Problems 2931, graph each function on a...Ch. 8 - In Problems 2931, graph each function on a...Ch. 8 - Prob. 30RECh. 8 - Prob. 31RECh. 8 - Prob. 32RE
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