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We are given that y = f(x) with f(1) = 2 and f'(1) = 5. NOTE: Enter the exact answers or round to three decimal places. (a) Find g'(1) if 9 (x) = /f(x). gʻ(1) = (b) Find h'(1) if h(x) = f(VT). h'(1) : %3D

We are given that y = f(x) with f(1) = 2 and f'(1) = 5. NOTE: Enter the exact answers or round to three decimal places. (a) Find g'(1) if 9 (x) = /f(x). gʻ(1) = (b) Find h'(1) if h(x) = f(VT). h'(1) : %3D

Calculus: Early Transcendentals
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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Question
The average adult takes about 12 breaths per minute. As a patient inhales, the volume of air in the lung increases. As the patient exhales, the volume of air in the lung decreases. For t in seconds since start of the breathing cycle, the volume of air inhaled or exhaled since t = 0 is given,' in hundreds of cubic centimeters, by 2n A(t) = - 2cos 5 + 2. (a) How long is one breathing cycle? i seconds (b) Find A' (3) and explain what it means. Round your answer to three decimal places. A' (3) = i hundred cubic centimeters/second.
Transcribed Image Text:The average adult takes about 12 breaths per minute. As a patient inhales, the volume of air in the lung increases. As the patient exhales, the volume of air in the lung decreases. For t in seconds since start of the breathing cycle, the volume of air inhaled or exhaled since t = 0 is given,' in hundreds of cubic centimeters, by 2n A(t) = - 2cos 5 + 2. (a) How long is one breathing cycle? i seconds (b) Find A' (3) and explain what it means. Round your answer to three decimal places. A' (3) = i hundred cubic centimeters/second.
We are given that y = f(x) with f(1) = 2 and f'(1) = 5. NOTE: Enter the exact answers or round to three decimal places. (a) Find g'(1) if 9 (x) = /f(x). gʻ(1) = (b) Find h'(1) if h(x) = f(VT). h'(1) : %3D
Transcribed Image Text:We are given that y = f(x) with f(1) = 2 and f'(1) = 5. NOTE: Enter the exact answers or round to three decimal places. (a) Find g'(1) if 9 (x) = /f(x). gʻ(1) = (b) Find h'(1) if h(x) = f(VT). h'(1) : %3D
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