Ab Review 08 Integral Worksheet - Penn State University (Page 2 of 5) in pdf

Ab Review 08 Integral Worksheet - Penn State University Page 2

 

f 

5. Let f be a differentiable function such that

 

 ,

  , and

  . The

 



 

g 

function g is differentiable and

g x



for all x . What is the value of

(A)



(B)



(C)

(D)

 

g 

(E) The value of

cannot be determined from the information given





 

6. Let f be a continuous function on the closed interval



3, 6

. If

f 

  and

 , then the

Intermediate Value Theorem guarantees that

 

(A)



 



(B)

f c



for at least one c between 3  and 6

 

(C)

 

f x



for all x between 3  and 6

 

f c  for at least one c between 3  and 6

(D)

 

(E)

f c 

for at least one c between 1  and 3





 



7. The first derivative of the function f is defined by

f x



sin



for 0

  . On what interval(s)

is f increasing?

(A) 1

 

1.445

(B) 1

 

1.691

 

1.875

(D) 0.577

 

1.445

and 1.875

 

(E) 0

  and 1.691

 

Ab Review 08 Integral Worksheet - Penn State University Page 2

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