MATH 2414 Final Exam V2 Questions and 100% Correct Answers 2026/27 Update – University of Houston.

MATH 2414 Final Exam V2 Questions and 100% Correct Answers 2026/27 Update –
University of Houston.
Question number 1.




Your answer was B. Correct.


Set up the integral needed to find the area of the region bounded bewteen the graph of
f(x) = x2 + 3 x and g(x) = 10.


5
A ∫ (10 − 3 x − x2) dx
−2


2
B ∫ (10 − 3 x − x2) dx
−5


2
C ∫ (x2 + 3 x − 10) dx
−5


5
D ∫ (x2 + 3 x + 10) dx
0


5
E ∫ (x2 + 3 x + 10) dx
−2




Question number 2.




Your answer was A. Wrong.

MATH 2414 Final Exam

, Suppose that f(x) is continuous on [−2, 6] and f(x) < 0 on [−2, 6]. If the area between f(x)
and the x-axis on [−2, 6] is 10, then find the average value of f on this interval.


5
A
4



B 0



5
C —
2



5
D
2



5
E —
4



F −10



G None of the above.




Question number 3.




MATH 2414 Final Exam

, Your answer was A. Correct.


1
Find the area bounded by the curves y = 3 √x + 8 and y = x2 + 8 .
9

A 27


27
B
2


C −27


27
D —
2


E 54



Question number 4.




Your answer was B. Correct.


Sketch the region bounded by the curves x = y 3 , x = 1, and y = 0 then find the volume of the
solid generated by revolving this region about the y-axis.


34π
A
7



MATH 2414 Final Exam

, 6π
B
7

13π
C
7

20π
D
7


27π
E
7



Question number 5.




Your answer was D. Correct.


The base of a solid is the circle x2 + y 2 = 16. Find the volume of the solid given that the cross
sections perpendicular to the x-axis are isoceles right triangles with leg on the xy-plane.


518
A
3


524
B
3

515
C
3




MATH 2414 Final Exam