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A comprehensive set of study questions for math 110 final exam, covering key concepts in calculus and trigonometry. It includes a variety of problems, ranging from basic evaluations to more complex equation solving and graphing. The questions are designed to help students solidify their understanding of fundamental principles and prepare for the final exam. Particularly useful for students who want to practice their problem-solving skills and gain confidence in their knowledge of calculus and trigonometry.
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a. log 1 4
3 /
2 2
Time: 2 hour 25 min
Math 110 Final Exam Study Questions
Problem(s) Score Total
Instructions: Show all work for full credit.
No outside materials or calculators allowed.
Extra Space: Use the backs of each sheet
for extra space. Clearly label when doing so.
Name :
Instructor/Section:
“I pledge by my honor that I have abided by
the NJIT Academic Integrity Code.”
(Signature)
a. cos
1 (1/ 2) b. tan
1 (1)
3
d.
cos
1 ( / 2)
the domain of the original problems. (8 points)
a) (^9)
2 x 3
1 x
9 b)^ log 5
x log 5
( x 1) log 5 (2 x )
(3 points)
2
2 (3 points)
(3 points)
a) Evaluate: cos(α + β) (2 points)
b) Evaluate: cos(2α) (2 points)
c) Evaluate: sin(2α) (4 points)
clearly showing the y-intercept and any asymptotes (5 pts)
(4 points)
adults and children sold for $15 and $12 respectively. The ticket revenue that night was
$16,275. (6 points)
a) Create a system of equations to find the numbers of adults and children at the game.
Be sure to properly define your variables first including units.
b) Solve your system by elimination or substitution. Be sure to explain why you chose to
use that method.
15. Write the partial fraction decomposition for the following: (9 points)
a) x^ ^7
x
2 x 6
a)
b)
x
x
3 x
2 2 x 2
b)
x
3 1
c) x
2 x 1
c)
16. Put the equation in standard form. Then graph the equation. (4 points)
x
2 6 x y
2 2 y 6 0
17. Find standard form of the equation for the ellipse having foci at (0,1) and 4,1) and
a major axis length of 6. (4 points)