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Let f(v) be the gas consumption (in liters/km) of a car going at velocity v (in km/hr). In other words, f(v) tells you how many liters of gas the car uses to go one kilometer, if it is going at velocity v. You are told that ƒ(80) = 0.08and f' (80) = 0.0004 (a) Let g(v) be the distance the same car goes on one liter of gas at velocity v. What is the relationship between f(v) and g(v)? Find g(80) and g' (80). (b) Let h(v) be the gas consumption in liters per hour. In other words, h(v) tells you how many liters of gas the car uses in one hour if it is going at velocity v. What is the relationship between h(v) and f(v)? Find h(80) and // (80). 1. g' (u) = 11.g' (u) = O ƒ' (v) (f/ (0))²¹ III. g' (u) = f(0) IV. g' (u) = - j), H (0) = v. f¹ (0) f(0)' g(80)i g' (80) E h(80)- |. W (v) = f(v)- v f' (v) Round to two decimal places. (80) J'(0) (f(0))² f'(o) (v) = f(v) + u f'(v) , (u) = f(0) + v. f' (v)

Let f(v) be the gas consumption (in liters/km) of a car going at velocity v (in km/hr). In other words, f(v) tells you how many liters of gas the car uses to go one kilometer, if it is going at velocity v. You are told that ƒ(80) = 0.08and f' (80) = 0.0004 (a) Let g(v) be the distance the same car goes on one liter of gas at velocity v. What is the relationship between f(v) and g(v)? Find g(80) and g' (80). (b) Let h(v) be the gas consumption in liters per hour. In other words, h(v) tells you how many liters of gas the car uses in one hour if it is going at velocity v. What is the relationship between h(v) and f(v)? Find h(80) and // (80). 1. g' (u) = 11.g' (u) = O ƒ' (v) (f/ (0))²¹ III. g' (u) = f(0) IV. g' (u) = - j), H (0) = v. f¹ (0) f(0)' g(80)i g' (80) E h(80)- |. W (v) = f(v)- v f' (v) Round to two decimal places. (80) J'(0) (f(0))² f'(o) (v) = f(v) + u f'(v) , (u) = f(0) + v. f' (v)

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Let f(v) be the gas consumption (in liters/km) of a car going at velocity v (in km/hr). In other words, f(v) tells you how many liters of gas the car uses to go one kilometer, if it is going at velocity v. You are told that ƒ(80) = 0.08and ƒ' (80) = 0.0004 (a) Let g(v) be the distance the same car goes on one liter of gas at velocity v. What is the relationship between f(v) and g(v)? Find g(80) and g' (80). (b) Let h(v) be the gas consumption in liters per hour. In other words, h(v) tells you how many liters of gas the car uses in one hour if it is going at velocity v. What is the relationship between h(v) and f(v)? Find h(80) and // (80). 1. g' (u) = II. g' (u) = III. g' (u) = IV. g' (u) = O g' (80) ƒ' (v) (f (0))²¹ g(80) i h(80)- = K (80) - Round to two decimal places. = 1 h (v) = f(u)- v. f'(v) f'(v) ((o))²¹ f'(U) f(0) , f(v)' (v) = f(u)+ v. f' (v) (v) = f(v) + v. f'(v) (u) = v: f' (v)
Transcribed Image Text:Let f(v) be the gas consumption (in liters/km) of a car going at velocity v (in km/hr). In other words, f(v) tells you how many liters of gas the car uses to go one kilometer, if it is going at velocity v. You are told that ƒ(80) = 0.08and ƒ' (80) = 0.0004 (a) Let g(v) be the distance the same car goes on one liter of gas at velocity v. What is the relationship between f(v) and g(v)? Find g(80) and g' (80). (b) Let h(v) be the gas consumption in liters per hour. In other words, h(v) tells you how many liters of gas the car uses in one hour if it is going at velocity v. What is the relationship between h(v) and f(v)? Find h(80) and // (80). 1. g' (u) = II. g' (u) = III. g' (u) = IV. g' (u) = O g' (80) ƒ' (v) (f (0))²¹ g(80) i h(80)- = K (80) - Round to two decimal places. = 1 h (v) = f(u)- v. f'(v) f'(v) ((o))²¹ f'(U) f(0) , f(v)' (v) = f(u)+ v. f' (v) (v) = f(v) + v. f'(v) (u) = v: f' (v)
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