p between f and g. verify Зх 79. f(x) = 5x 4 88. x +2 sin x 3x 80. f(x)sinx g(x) =sinx + 2x х х Finding Derivatives In Exercises 81 and 82, use the graphs of f and g. Let p(x) = f(x)g(x) and q(x) f(x)/g(x). P89 81. (a) Find p'(1). 82. (a) Find p'(4). (b) Find q'(4). (b) Find q'(7). у y 10 10 8. 6- ( 2. 2 х 2 4 6 8 10 -2 -2+2 4 6 8 10 83. Area The length of a rectangle is given by 6t + 5 and its height is Vt, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect 90. S to time. 84. Volume The radius of a right circular cylinder is given by +2 and its height is t, where t is time in seconds and the dimensions are in inches. Find the rate of change of te volume with respect to time. t 85. Inventory Replenishment The transportation cost C for the components used in manufacturine product is ordering and a 200 + x t30/ х 2 1 C 100 order a wi 44

p between f and g. verify Зх 79. f(x) = 5x 4 88. x +2 sin x 3x 80. f(x)sinx g(x) =sinx + 2x х х Finding Derivatives In Exercises 81 and 82, use the graphs of f and g. Let p(x) = f(x)g(x) and q(x) f(x)/g(x). P89 81. (a) Find p'(1). 82. (a) Find p'(4). (b) Find q'(4). (b) Find q'(7). у y 10 10 8. 6- ( 2. 2 х 2 4 6 8 10 -2 -2+2 4 6 8 10 83. Area The length of a rectangle is given by 6t + 5 and its height is Vt, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect 90. S to time. 84. Volume The radius of a right circular cylinder is given by +2 and its height is t, where t is time in seconds and the dimensions are in inches. Find the rate of change of te volume with respect to time. t 85. Inventory Replenishment The transportation cost C for the components used in manufacturine product is ordering and a 200 + x t30/ х 2 1 C 100 order a wi 44

Name: 83 p between f and g.verifyЗх79. f(x) =5x 488.x +2sin x 3x80. f(x)sinx
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Description: 83 p between f and g.verifyЗх79. f(x) =5x 488.x +2sin x 3x80. f(x)sinxg(x) =sinx + 2xххFinding Derivatives In Exercises 81 and 82, use the graphsof f and g. Let p(x) = f(x)g(x) and q(x) f(x)/g(x).P8981. (a) Find p'(1).82. (a) Find p'(4).(b) Find q'(4

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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