in the interval [-5, 1]. For each of the following, type your simplified numerical answer in the blank box. Do not type fractions. Type an integer if the answer is an integer, otherwise, type a decimal. a) Find the slope of the secant line by computing the following: b) Find the derivative and solve the equation g' (c) The solution is: c = 0.26 g(1)-g(-5) 0.08 = 1-(-5) 9(1)-9(-5) = 1-(-5) Type your answer as a decimal. For these last two questions, type yes if your answer is yes and type no if your answer is no. c) Does this function g satisfy the assumptions of Rolle's Theorem? no d) Does this function g satisfy the assumptions of the Mean Value Theorem? yes

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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2) Let's define the function g as follows: g(x) = 4x² - 2x +7 for x in the interval [-5, 1].
For each of the following, type your simplified numerical answer in the blank box. Do not type fractions. Type an integer if the answer is an integer,
otherwise, type a decimal.
a) Find the slope of the secant line by computing the following:
g(1)-g(-5)
1-(-5)
The solution is: c = 0.26
b) Find the derivative and solve the equation g' (c) = 9(¹)-9(-5). Type your answer as a decimal.
1-(-5)
= 0.08
For these last two questions, type yes if your answer is yes and type no if your answer is no.
c) Does this function g satisfy the assumptions of Rolle's Theorem? no
d) Does this function g satisfy the assumptions of the Mean Value Theorem? yes
K
Transcribed Image Text:2) Let's define the function g as follows: g(x) = 4x² - 2x +7 for x in the interval [-5, 1]. For each of the following, type your simplified numerical answer in the blank box. Do not type fractions. Type an integer if the answer is an integer, otherwise, type a decimal. a) Find the slope of the secant line by computing the following: g(1)-g(-5) 1-(-5) The solution is: c = 0.26 b) Find the derivative and solve the equation g' (c) = 9(¹)-9(-5). Type your answer as a decimal. 1-(-5) = 0.08 For these last two questions, type yes if your answer is yes and type no if your answer is no. c) Does this function g satisfy the assumptions of Rolle's Theorem? no d) Does this function g satisfy the assumptions of the Mean Value Theorem? yes K
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