Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 52E
Related questions
Question
Determine whether MVT can be applied to the function on [-3, 3]. If it can be applied, find the average rate of change. Otherwise, explain why it cannot be applied. Answer number 3 only!!!
(Show work and step-by-step process in finding the correct answers.)
![MVT and Rolle's Theorem Worksheet
average rate of change. Otherwise, explain why it cannot be applied.
1.
2.
3.
Determine whether Rolle's Theorem can be applied to f (x) on the closed interval [a,D1-
Rolle's Theorem can be applied, find all values of c on the open interval (a, b) that sátisi)
Rolle's Theorem. Otherwise, explain why Rolle's Theorem does not apply.
4. f(x) = x² – 3x, [0,3]
6. f(x) = 3 – |x 3|, [0,6]
5. f (x) = x? – 5x + 4, [1,4]
7. f (x) :
= sin x + cos x, [0,t]
Determine whether MVT can be applied to f (x) on the closed interval [a, b]. If MVT can be
applied, find all values of c on the open interval (a, b) that satisfy MVT. Otherwise, explain
why MVT does not apply.
8. f(x) = x², [-2,1]
9. f (x) = |2x + 1], [-1,3]
11. f(x) = **, [1, 4]
x+1
10. f(x) = **, [-1,2]
x+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37d5b1d8-6995-4b56-bacf-14689b1f060a%2F3baed101-f059-4c02-b186-242d9c52c127%2Fn69ceiu_processed.jpeg&w=3840&q=75)
Transcribed Image Text:MVT and Rolle's Theorem Worksheet
average rate of change. Otherwise, explain why it cannot be applied.
1.
2.
3.
Determine whether Rolle's Theorem can be applied to f (x) on the closed interval [a,D1-
Rolle's Theorem can be applied, find all values of c on the open interval (a, b) that sátisi)
Rolle's Theorem. Otherwise, explain why Rolle's Theorem does not apply.
4. f(x) = x² – 3x, [0,3]
6. f(x) = 3 – |x 3|, [0,6]
5. f (x) = x? – 5x + 4, [1,4]
7. f (x) :
= sin x + cos x, [0,t]
Determine whether MVT can be applied to f (x) on the closed interval [a, b]. If MVT can be
applied, find all values of c on the open interval (a, b) that satisfy MVT. Otherwise, explain
why MVT does not apply.
8. f(x) = x², [-2,1]
9. f (x) = |2x + 1], [-1,3]
11. f(x) = **, [1, 4]
x+1
10. f(x) = **, [-1,2]
x+1
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