Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Math 110 Final Exam Study Questions: Comprehensive Review for Calculus and Trigonometry, Exams of Mathematics

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.

Typology: Exams

2024/2025

Available from 01/15/2025

emilly-martin
emilly-martin 🇺🇸

4.3

(3)

1.2K documents

1 / 12

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
a. log 1
4
64
b.
log 16
3 /
2
2
6
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)
1. Evaluate the following (6 points):
c.
cos 2
5
sin(50
) sin 2
5
6
pf3
pf4
pf5
pf8
pf9
pfa

Partial preview of the text

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)

  1. 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)

  1. 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 )

  1. 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)

  1. 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)

  1. Graph (^) y sin  x

clearly showing the y-intercept and any asymptotes (5 pts)

11. Graph the following equation. r  1 2sin

(4 points)

  1. 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 xy

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)