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1. Google's stock, S in dollars, is given below as a function of time, where t is the number of years after 2005. GOOGLE (3, 650) 650 600 (2.6, 630) (2.8, 650) (2.4, 580) 550 500 (2.2, 480) 450 (2, 460) 400 2.2 2.4 2.6 2.8 Time, t years after 2005 a) Which one is larger: S'(2.2) or S'(2.8)? Illustrate this on the graph. b) Use the average rate of change to estimate the derivative (instantaneous rate of change) at t = 2.2. Work on using functional notation, and write down the units. %3D S'(2.2) = =) Use part b to estimate S(2.25). (Hint: Use the units!) 3. 2. Stock price, S in dollars

1. Google's stock, S in dollars, is given below as a function of time, where t is the number of years after 2005. GOOGLE (3, 650) 650 600 (2.6, 630) (2.8, 650) (2.4, 580) 550 500 (2.2, 480) 450 (2, 460) 400 2.2 2.4 2.6 2.8 Time, t years after 2005 a) Which one is larger: S'(2.2) or S'(2.8)? Illustrate this on the graph. b) Use the average rate of change to estimate the derivative (instantaneous rate of change) at t = 2.2. Work on using functional notation, and write down the units. %3D S'(2.2) = =) Use part b to estimate S(2.25). (Hint: Use the units!) 3. 2. Stock price, S in dollars

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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HLON Calculus I Homework The Derivative and Rate of Change 1. Google's stock, S in dollars, is given bclow as a function of time, where t is the number of Name: years after 2005. GOOGLE (3, 650) 650 (2.6, 630) (2.8, 650) 600 (2.4, 580) 550 500 (2.2, 480) the ine and sine 450 (2, 460) 400 2.2 2.4 2.6 2.8 Time, t years after 2005 a) Which one is larger: S'(2.2) or S'(2.8)? Illustrate this on the graph. the definition of the denvve b) Use the average rate of change to estimate the derivative (instantaneous rate of change) at t = 2.2. Work on using functional notation, and write down the units. S'(2.2) - c) Use part b to estimate S(2.25). (Hint: Use the units!) Stock price, S in dollars
Transcribed Image Text:HLON Calculus I Homework The Derivative and Rate of Change 1. Google's stock, S in dollars, is given bclow as a function of time, where t is the number of Name: years after 2005. GOOGLE (3, 650) 650 (2.6, 630) (2.8, 650) 600 (2.4, 580) 550 500 (2.2, 480) the ine and sine 450 (2, 460) 400 2.2 2.4 2.6 2.8 Time, t years after 2005 a) Which one is larger: S'(2.2) or S'(2.8)? Illustrate this on the graph. the definition of the denvve b) Use the average rate of change to estimate the derivative (instantaneous rate of change) at t = 2.2. Work on using functional notation, and write down the units. S'(2.2) - c) Use part b to estimate S(2.25). (Hint: Use the units!) Stock price, S in dollars
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