Worksheet #4A: Rolle's and MVT Name Determine whether Rolle's Theorem can be applied to f on the indicated interval. If Rolle's Theorem can be applied, find all the values of c in the interval that satisfies the Rolle's Theorem. 1. f(x)=x² -3x+2; [1,2] 2. f(x)=x-1; [-8,8] %3D 3. f(x) =: *-2x-31-1,31 x+2 4. f(x)= sin x; [0, 27] ;(-1,3]
Worksheet #4A: Rolle's and MVT Name Determine whether Rolle's Theorem can be applied to f on the indicated interval. If Rolle's Theorem can be applied, find all the values of c in the interval that satisfies the Rolle's Theorem. 1. f(x)=x² -3x+2; [1,2] 2. f(x)=x-1; [-8,8] %3D 3. f(x) =: *-2x-31-1,31 x+2 4. f(x)= sin x; [0, 27] ;(-1,3]
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine whether Rolle’s Theorem can be applied to f on the indicated interval. If Rolle’s Theorem can be applied, find all the the values of c in the interval that satisfies the Rolle’s Theorem. (Show work and step-by-step process in finding the correct answers.) #4 only!!
![Worksheet #4A: Rolle's and MVT
Name
Determine whether Rolle's Theorem can be applied to f on the indicated interval. If Rolle's Theorem can
be applied, find all the values of c in the interval that satisfies the Rolle's Theorem.
1. f(x)=x² -3x+2; [1,2]
2. f(x) =x-1; [-8,8]
3. f(x) =*-2-3,(-1,3]
4. f(x)=sin x; [0,27]
x+2
5. f(x) = sin 2.x;
Determine whether the Mean Value Theorem can be applied tof on the indicated interval. In each case,
find all values of c in the interval (a, b) that satisfies the MVT.
6. f(x) =x(x' -x-2):[(-1,1]
7. f(x) =x*; [0,1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb912e19a-9f1e-492b-adb4-9a92e237164c%2F6354eea9-240b-406e-b072-631e64e1dc3b%2Fymi3wn4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Worksheet #4A: Rolle's and MVT
Name
Determine whether Rolle's Theorem can be applied to f on the indicated interval. If Rolle's Theorem can
be applied, find all the values of c in the interval that satisfies the Rolle's Theorem.
1. f(x)=x² -3x+2; [1,2]
2. f(x) =x-1; [-8,8]
3. f(x) =*-2-3,(-1,3]
4. f(x)=sin x; [0,27]
x+2
5. f(x) = sin 2.x;
Determine whether the Mean Value Theorem can be applied tof on the indicated interval. In each case,
find all values of c in the interval (a, b) that satisfies the MVT.
6. f(x) =x(x' -x-2):[(-1,1]
7. f(x) =x*; [0,1]
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