Download Math 110 Final Exam Study Questions: Comprehensive Review for Calculus and Trigonometry and more Exams Mathematics in PDF only on Docsity!
a. log 1 4
^64
b.
log 16
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 :
ID # :
Instructor/Section:
“I pledge by my honor that I have abided by
the NJIT Academic Integrity Code.”
(Signature)
- Evaluate the following (6 points) :
c. cos 2
sin(50) sin 2
a. cos
1 (1/ 2) b. tan
1 (1)
c. sin
3
d.
cos
1 ( / 2)
- Evaluate the following (8 points) : 3. Solve the following equations for ALL solutions, making sure all answers are in
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 )
- Find all solutions of the following equation on the range [0,2π):
a) 2cos() 1 0
(3 points)
b) 3cos
2
() sin
2 (3 points)
c) 3cos
(3 points)
- Suppose cos(α) = 1/3 where α is in quadrant I and sin(β) = 1/4, with β in Quadrant II.
a) Evaluate: cos(α + β) (2 points)
b) Evaluate: cos(2α) (2 points)
c) Evaluate: sin(2α) (4 points)
- Graph (^) y sin x
clearly showing the y-intercept and any asymptotes (5 pts)
11. Graph the following equation. r 1 2sin
(4 points)
- A minor league baseball team has a total attendance one evening of 1175. The tickets for
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)
