AMAT113 Calculus II Exam 1A Spring 2025
Print Name:
UAlbany Email:
Instructors Name:
Directions: You have 75 minutes to answer the following questions. You must show all
necessary work as neatly and clearly as possible and clearly indicate your final answers.
No calculators, notes, textbooks, mobile phones or other aids are allowed. Do not detach pages.
Problem Possible Points
1 8
2 12
3 12
4 10
5 7
6 10
7** 6
Total 59
**Optional Extra Credit Problem
,AMAT113 Calculus II
(1) A table of values of a function f is given below.
x 0 9 18 27 36
f (x) 10 -15 25 -5 -10
Z 36
(a) (4 Points) Find L4 , a left-endpoint approximation with n = 4 for f (x)dx.
0
Z 36
(b) (4 Points) Find R4 , a right-endpoint approximation with n = 4 for f (x)dx.
0
, AMAT113 Calculus II
Z x
(2) (3 Points Each) Let g(x) = f (t)dt where f is defined on the interval [0, 8] and whose
0
graph is shown below.
f (t)
2
1
t
1 2 3 4 5 6 7 8
1
2
Fill in the blanks.
(a) g(3) = .
(b) g(6) = .
(c) g 0 (4) = .
(d) The critical points of g are .
Print Name:
UAlbany Email:
Instructors Name:
Directions: You have 75 minutes to answer the following questions. You must show all
necessary work as neatly and clearly as possible and clearly indicate your final answers.
No calculators, notes, textbooks, mobile phones or other aids are allowed. Do not detach pages.
Problem Possible Points
1 8
2 12
3 12
4 10
5 7
6 10
7** 6
Total 59
**Optional Extra Credit Problem
,AMAT113 Calculus II
(1) A table of values of a function f is given below.
x 0 9 18 27 36
f (x) 10 -15 25 -5 -10
Z 36
(a) (4 Points) Find L4 , a left-endpoint approximation with n = 4 for f (x)dx.
0
Z 36
(b) (4 Points) Find R4 , a right-endpoint approximation with n = 4 for f (x)dx.
0
, AMAT113 Calculus II
Z x
(2) (3 Points Each) Let g(x) = f (t)dt where f is defined on the interval [0, 8] and whose
0
graph is shown below.
f (t)
2
1
t
1 2 3 4 5 6 7 8
1
2
Fill in the blanks.
(a) g(3) = .
(b) g(6) = .
(c) g 0 (4) = .
(d) The critical points of g are .
