MAT 251 Checkpoint 1-2 | Score 75/75 | Straighterline

2/3/26, 6:16 PM Benchmark 2: Checkpoints 1-2; Attempt review




Calculus 1l / Benchmark 2: Checkpoints 1-2 / Benchmark 2: Checkpoints 1-2




Startedon Sunday, February 1, 2026, 12:55 PM
State Finished
Completed on Sunday, February 1, 2026, 1:19 PM
Time taken 23 mins 59 secs
Grade 75.00 out of 75.00 (100%)


Question 1

Correct

3.75 points out of 3.75




For which of the following values of cwilly = = + % have arelative maximum at z = —5?


Select one:
a.
b. -5
O»
O




<
(85
N
o




Question 2

Correct

3.75 points out of 3.75




If sinxz = e¥, 0 < z < m,which of the following is an expression for % interms of £?


Select one:
a. tanx
b. -cotx
c. cotx¥
d. -tanx




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, 2/3/26, 6:16 PM Benchmark 2: Checkpoints 1-2; Attempt review

Question 3

Correct

3.75 points out of 3.75




The volume of a spherical balloon is increasing at a constant rate of 3 in. At which of the following rates is the radius
of the balloon increasing at the instant its radius is 2 inches?


Select one:
3 .
a. g-in/s
9 .
b. g'&'n / S
g .
C. m'&n / S

d. 3.
=in/s v



Question 4

Correct

3.75 points out of 3.75




z2+1
Find the derivative of y =
2 —1

Select one:
a. —dx

(@ — 1
b. 1
C. 43
(z2 —1)2
d. 4z
(22 —1)2


Question 5

Correct

3.75 points out of 3.75




The deflection of a hardwood beam of length L is given by

D(z) = %w‘l — 7La% + 5L2%x?
where z is the distance from the fixed end of the beam. Which of the following values of z yields the maximum deflection?


Select one:

a. 0
b. 2Ly
3
5L
C. ?

2L 5L




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