(-1,infinity)
The correct answer is the
parabola, ignore the
upside
down v.
The 8 should be
in the
denominator
not the numerator
log x(x-6) = 2
4
4^2 = x(x-6)
16 = x^2 - 6x
x^2 - 6x -16 = 0
(x-8) (x+2) = 0
x=8 x=-2 (not in
domain)
so only solution is x=8
Precalculus
Final Exam review
Multiple Choice
Identf) the choice rim: best completes the statement or answers the quesiion
Write the letter for the correct answer in the
4. Solve 2cosx 1 = 0 on the interval cfw_0,2,1.
blank at the right of each questi
HONORS PRECALCULUS
FINAL EXAM REVIEW PACKET
TOPICS COVERED
o Trig Identities
o Trig Equations
0 Law of sines and cosines
o Vectors
- Conic sections
0 Parametric Equations
0 Polar Equations
0 Limits
E50 N
i $38.6 N
g 3
" Fm=45.9 N
FV'" Flori:
.=_ 0,:
5m 40
MATH 111 FINAL EXAM SPRING 2008
On the rst 9 pages of this exam, you may not use a calculator. On the remaining pages,
you may use a calculator. You must hand in pages 1-9 of this exam before you get out
your calculator. Exact answers and supporting work
MATH 111 FINAL EXAM FALL 2004
NAME SECTION
On the rst 7 pages of this test, you may not use a calculator. On the remaining pages,
you may use a calculator. You must hand in pages 1-7 of this test before you get out
your calculator. Exact answers and sup
Math 111, Final Exam
Name:
215 pts, 3 hours
April 27, 2013
No notes, books, electronic devices, or outside materials of any kind.
Page 1 of 3
Read each problem carefully. Unless otherwise indicated, supporting work will be required
on every problem; one-w
Precalculus
Final Examination
Name _
I. Definitions
1. Write the definition for a function.
_
_
_
2. Write the general form of a sinusoidal function.
_
3. Write the definition of the cosine function.
_
_
4. Write the general equation for an exponential fu
Final Exam Review Worksheets
Math 1151, Precalculus 2
1. Graph f (x) = 2x2 4x 1 using transformations. What is the vertex? What are
the roots?
2. Find all the asymptotes of f (x) =
x2 5x2
x5
and of g(x) =
x2
.
x2 +5x+6
3. Let f (x) = x4 5x3 + 5x2 5x + 4.
Precalculus Final Exam Practice
Part II Key
1.
State the domain and range of the graph shown at right. Give your answers in
interval notation. Assume that each square = 1 unit.
Domain: (5, 1] (1, )
Range: (, 5) (3, 2) (4, 6]
2.
Given () = 6 2 + 4 2, find
MATH 121 Precalculus
Fall 2014
Final exam
December, 11
Name:
UIN:
You are expected to abide by the Universitys rules concerning Academic Honesty.
You may not use your books, notes, or any electronic device including calculators and cell phones.
Show AL
Glendale Community College
Summer 2009
Kehowski
Monday, July 20
NAME:
Score
?
Percent
MAT 187 Precalculus
Walter A. Kehowski, Instr.
Sample Final Exam
This is a sample exam. The actual exam will be similar in structure.
EXAM DATE:
Thursday, July 23,
Room
Precalculus
Final Exam Review
2014 2015
You must show work to receive credit!
This review covers the major topics in the material that will be tested on the final
exam. It is not necessarily all inclusive and additional study and problem solving
practice
MAC 1140 - Precalculus/Algebra
Review for Final Exam - Spring 2013
Use the Rational Zeros Theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real
numbers.
1) f(x) = 2x3 - 11x2 + 7x + 20
A) 1,
2
, -4; f(x) = (
Definite Integrals and Riemann Sums
MTH229
Definite Integrals and Riemann Sums
Project 10 Exercises
NAME:
SECTION:
INSTRUCTOR:
Exercise 1:
a. Create a script m-file containing the content above, only change the value of n to 2,500.
What is the area for th
Graphical Solutions to Equations
MTH229
Graphical Solutions to Equations
Project 4 Exercises
NAME:
SECTION:
INSTRUCTOR:
Exercise 1:
Use a graph of (x 2)2 = 4 sin(x) to find solutions to the equation valid to 2 decimal points:
(1) Answer:
Exercise 2:
Use t
Approximate First and Second Derivatives
MTH229
Approximate First and Second Derivatives
Project 6 Exercises
NAME:
SECTION:
INSTRUCTOR:
Exercise 1:
Let f (x) = sin(x2 ). We wish to find the derivative of f when x = /4.
a. Make a function m-file storing th
Investigating Limits in MATLAB
MTH229
Investigating Limits in MATLAB
Project 5 Exercises
NAME:
SECTION:
INSTRUCTOR:
Exercise 1:
Use the graphical approach to find the following right limit of f (x) = xx ,
x>0
lim xx
x0+
What is the value of the limit?
(1)
<?xml version="1.0" encoding="iso-8859-1"?>
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MUBASHAR AHMED
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1 Introduction
Math
Math 214 Applied Statistics with Computers
Dr Moore Fall 2015
Lab3: The Binomial Distribution and the Normal Approximation
The objective of this lab is to learn how to use R to calculate probabilities for the Binomial
Distribution, simulate random variabl
LOBAR M
DIVYA RAJU
BETTY MATHUKUTTY
Math 214 Applied Statistics with Computers
Dr Moore Fall 2015
Lab2: Normal Distribution, Z-scores and Random Sampling
The objective of this lab is to use R to calculate probabilities for the Normal Distribution and to
p
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Office Hours:
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Telephone
Number:
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Email Address: calandra.moore@csi.cuny.edu (preferred)
9/28/2015
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HW will be open on Statsportal starting tomorrow, Due end of next wee
11 INFINITE SERIES
11.1 Sequences
Preliminary Questions
1. What is a4 for the sequence an = n 2 n?
SOLUTION
Substituting n = 4 in the expression for an gives
a4 = 42 4 = 12.
2. Which of the following sequences converge to zero?
n2
(a) 2
(b) 2n
n +1
(c)
1