MATH-1150
PRACTICE Exam #2
Instructor: Eric Harshbarger
Student Name: _
Show all relevant work (use back of pages for scratch paper, if needed). CIRCLE FINAL ANSWERS.
1. [5 pts each] Evaluate each expression (do not use a calculator or decimal places):
a)
MA 265 ' FINAL EXAM FALL 2011
Name
PUID#
Lecturer
Section#____..______ Class Time
INSTRUCTIONS
1. Make sure you have a complete test. There are 11 different test pages, including this
cover page.
2. Your PUID# is your student identication num
MATH-1150 (Fall 2015)
PRACTICE EXAM #1
Instructor: Eric Harshbarger
Student Name: _
Show all relevant work (use back of pages for scratch paper, if needed). CIRCLE FINAL ANSWERS.
Leave answers as fractions, not decimals.
1. Let
4x
f x =
.
2x3
(a) [5pts]
MATH-1150
PRACTICE Exam #3
Instructor: Eric Harshbarger
Student Name: _
Show all relevant work (use back of pages for scratch paper, if needed). CIRCLE FINAL ANSWERS.
1. [35 pts] The first column of the chart below shows angle, , measured in radians. In e
MATH-1150
PRACTICE Exam #4
Instructor: Eric Harshbarger
Student Name: _
Show all relevant work (use back of pages for scratch paper, if needed). CIRCLE FINAL ANSWERS.
1. [11 pts each] Prove each identity:
a)
tan + cot = sec csc
b)
(1 - tan x)(1 - cot x)
Math 1150
1. Express the following in exponential form:
logA(B 1) = c
2. Express the following in logarithmic form:
9 0.5a = b
5 0.541
3. Use the Change of Base Formula to express the following in terms of the natural logarithm.
- WE)
5 a7
4. Evaluate th
Math 1150 - Spring 2016
Chapter 5: Trigonometric Functions: Unit Circle Approach
5.5 Inverse Trigonometric Functions and Their Graphs
The Inverse Tangent Function
We restrict the domain of the tangent function to the interval ( 2 , 2 ) to obtain a oneto-o
Math 1150 - Spring 2016
Chapter 4: Exponential and Logarithmic Functions
4.4Laws Of Logarithms
Since logarithms are exponents, the Laws of Exponents give rise to the Laws of Logarithms.
Example 1Use the Laws of Logarithms to evaluate the expression.
(a) l
MATH 265 FINAL EXAM, Spring 2007
Name and ID:
Instructor:
Section or class time:
Instructions: Calculators are not allowed. There are 25 multiple choice problems
worth 8 points each, for a total of 200 points.
1
14
2
15
3
16
4
17
5
18
6
19
7
20
8
21
9
22
Math 1150 - Spring 2016
Chapter 4: Exponential and Logarithmic Functions
4.5 Exponential and Logarithmic Equations
Exponential Equations. An exponential equation is one in which the variable occurs in
the exponent. Some exponential equations can be solved
Math 1150 - Spring 2016
Chapter 4: Exponential and Logarithmic Functions
4.5 Modeling with Exponential Functions
Example 1. The population of a certain city was 112,000 in 2014, and the observed
doubling time for the population is 18 years.
(1) Find an ex
Math 1150 - Spring 2016
Chapter 5: Trigonometric Functions: Unit Circle Approach
5.1The Unit Circle
In this section we explore some properties of the circle of radius 1 centered at the origin.
The set of points at a distance 1 from the origin is a circle
Math 1150 - Spring 2016
Chapter 5: Trigonometric Functions: Unit Circle Approach
5.3 Trigonometric Graphs
The graph of a function gives us a better idea of its behavior. So in this section we graph
the sine and cosine functions and certain transformations
Math 1150 - Spring 2016
Chapter 5: Trigonometric Functions: Unit Circle Approach
5.5Inverse Trigonometric Functions and Their Graphs
The Inverse Sine Function
From the next figure we see that sine is one-to-one on this restricted domain (by the Horizontal
Math 1150 - Spring 2016
Chapter 5: Trigonometric Functions: Unit Circle Approach
5.2 The Trigonometric Functions
We know that to find the terminal point P (x, y) for a given real number t, we move a distance
|t| along the unit circle, starting at the poin
Math 1150 - Spring 2016
Chapter 5: Trigonometric Functions: Unit Circle Approach
5.4 More Trigonometric Graphs
In this section we graph the tangent, cotangent, secant, and cosecant functions and
transformations of these functions.
Graphs of Tangent, Cotan
MA 265
FINAL EXAM
Fall 2012
NAME:
INSTRUCTORS NAME:
1. There are a total of 25 problems. You should show work on the exam sheet, and pencil
in the correct answer on the scantron.
2. No books, notes, or calculators are allowed.
1. For what value of h is th
Math 1150-150/170
Chapter 7 Identities
Reciprocal Identities:
sec(x) =
1
cos(x)
; csc(x) =
1
sin(x)
tan(x) =
sin(x)
cos(x)
; cot(x) =
1
tan(x)
=
cos(x)
sin(x)
Pythagorean Identities:
(divide the first identity through by sin2 (x) and cos2 (x) to get the s
Math 1150
1. Express the following in exponential form:
logA(B 1) = c
2. Express the following in logarithmic form:
9 0.5a = b
5 0.541
3. Use the Change of Base Formula to express the following in terms of the natural logarithm.
- WE)
5 a7
4. Evaluate th