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
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 13P: In these problems you are asked to find a function that models a real-life situation. Use the...
Related questions
Question
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
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
