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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
8th Edition
ISBN: 9781305279148
Author: Stewart, James, St. Andre, Richard
Publisher: Cengage Learning
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Question
Chapter 10.2, Problem 5PT
To determine
To identify: The correct option for the blank in the statement, “The length of the curve given by x=3t2+2 and y=2t3 for 0≤t≤1 is _____”.
Expert Solution & Answer
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Students have asked these similar questions
3. Find the derivative of each function. Label with appropriate derivative notation showing both dependent and
independent variables.
f(t)=4t(2t⭑+4)³
a. f(t)=4t (2t+4)³ (Answer must be factored.)
b.
y=
3
1
(2x³-4)
6
4.3 The Chain Rule
1. {Algebra review} Let f(x)=2x²-5 x and g(x)=6x+2. Find f[g(−5)].
2. {Algebra review} Write h(x)=√√8x-3 as the composite of two functions f(x) and g(x). (There may be more
than one way to do this.)
4.4 Derivatives of Exponential Functions
1. Find derivatives of the functions defined as follows.
a. g(t)=-3.4e
b. y=e√x
c. f(x)=(4x³+2)e³*
d. y=-
x²
Chapter 10 Solutions
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Ch. 10.1 - Prob. 1PTCh. 10.1 - Prob. 2PTCh. 10.1 - Prob. 3PTCh. 10.2 - Prob. 1PTCh. 10.2 - Prob. 2PTCh. 10.2 - Prob. 3PTCh. 10.2 - Prob. 4PTCh. 10.2 - Prob. 5PTCh. 10.2 - Prob. 6PTCh. 10.3 - Prob. 1PT
Ch. 10.3 - Prob. 2PTCh. 10.3 - Prob. 3PTCh. 10.3 - Prob. 4PTCh. 10.3 - Prob. 5PTCh. 10.3 - Prob. 6PTCh. 10.4 - Prob. 1PTCh. 10.4 - The area of the shaded region is given by:
Ch. 10.4 - Prob. 3PTCh. 10.5 - Prob. 1PTCh. 10.5 - Prob. 2PTCh. 10.5 - Prob. 3PTCh. 10.6 - Prob. 1PTCh. 10.6 - Prob. 2PTCh. 10.6 - Prob. 3PTCh. 10.6 - Prob. 4PT
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- 4.5 Derivatives of Logarithmic Functions 1. Find the derivative of each function. a) y=ln (-3x) b) f(u)=nu c) 9(x)=x-1 lnxarrow_forward3. If the total revenue received from the sale of x items is given by R(x)=30ln (2x+1), While the total cost to produce x items is C(x)=✗, find the following. a) The marginal revenue b) The profit function P(x) (Hint: P(x)=R(x)-C(x)} c) The marginal profit when x=20 d) Interpret the results of part c).arrow_forward2. The sales of a new personal computer (in thousands) are given by S(t)=100-90€-04: Where t represents time in years. Find and interpret the rate of change of sales at each time. a) After 1 year b) After 5 years c) What is happening to the rate of change of sales as time goes on? d) Does the rate of change of sales ever equal zero?arrow_forward
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