Question 4 The fuel efficiency of a car E(s), in miles per gallon, is a function of the speed of the car s, in miles per hour. Suppose that E(60) = 40 and E′(60) = −0.7. (a) What are the units of E′(s)? (b) Let C(s) be the fuel consumption, in gallons per mile, of the car when it is driving smiles per hour. Find a formula for C(s) in terms of E(s). Calculate C′(60). (c) Let R(s), be the rate the car burns fuel, in gallons per hour, when the car is driving smiles per hour. Find a
Question 4 The fuel efficiency of a car E(s), in miles per gallon, is a function of the speed of the car s, in miles per hour. Suppose that E(60) = 40 and E′(60) = −0.7. (a) What are the units of E′(s)? (b) Let C(s) be the fuel consumption, in gallons per mile, of the car when it is driving smiles per hour. Find a formula for C(s) in terms of E(s). Calculate C′(60). (c) Let R(s), be the rate the car burns fuel, in gallons per hour, when the car is driving smiles per hour. Find a
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.7: Operations On Functions
Problem 52E
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Question 4 The fuel efficiency of a car E(s), in miles per gallon, is a function of the speed of the car s, in miles per hour. Suppose that E(60) = 40 and E′(60) = −0.7. (a) What are the units of E′(s)? (b) Let C(s) be the fuel consumption, in gallons per mile, of the car when it is driving smiles per hour. Find a formula for C(s) in terms of E(s). Calculate C′(60). (c) Let R(s), be the rate the car burns fuel, in gallons per hour, when the car is driving smiles per hour. Find a formula for R(s) in terms of E(s). Calculate R′(60).
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