MTH 111 Summer 2011
Practice Final
1. (10 points) Circle T if the statement is true and F if the statement is false.
No justications required. No partial credits.
(a) T F The value of sin1 (x) will be always between 900 and 900 .
(b) T F The value of sec(
MTH 111 Summer 2011
Practice Midterm 2
1. (10 points) Circle T if the statement is true and F if the statement is false.
No justications required. No partial credits.
(a) T F The function f (x) = x4 is an even function.
(b) T F A parabola open downwards c
MTH 111 Summer 2011
Practice Midterm 1
1. (10 points) Circle T if the statement is true and F if the statement is false.
No justications required. No partial credits.
(a) T F On simplication a4 a5 becomes a20 .
(b) T F If f = cfw_(0, 2), (2, 2), (3, 4), (
MTH 111 Summer 2011
Assignment 2
Name:
1. (a) If f (x) = x3 + 4x + 5 and g (x) = x2 , nd f (g (x) and g (f (x).
(b) Find the inverse of f (x) =
2x
x+5
(c) Find the inverse of f (x) = 5 +
x6
Page 1 of 2
Due Mon June 6
2. (a) Write is the degree and leading
MTH 111 Summer 2011
Assignment 3
Due Tue June 14
Name:
1. Let
y = 4(x + 1)2
represent a parabola. Find the following
(a) Vertex =
(b) Line of Symmetry =
(c) The parabola is open (upwards/downwards)
(d) Domain =
(e) Range =
(f) Maximum value of y =
(g) Min
MTH 111 Summer 2011
Assignment 4
Due Mon June 20
Name:
1. Find the amplitude, period and phase shift for
(a) y = 7 sin 4 (x 2)
(b) y = 2 cos 3(x + ) 1
4
2. Find a function of the form y = A sin[B (x C )] + D with period=4, phase shift=5 and
range [-5,9].
MTH 111 Summer 2011
Assignment 5
Due Wed June 22
Name:
1. Write the values of the following logarithmic functions. The answer must be a number
log6 (12) + log6 (3) log3 (18) log3 (2) log11 (114 ) 6log6 (2) ln(e4 ) log(10) log(0.0001)
2. Write the inverse
MTH 111 Summer 2011
Assignment 1
Due Tue May 31
Name:
1. (a) Solve the inequality 2 5x 13. Write the solution in the interval form and
graph the solution.
(b) Solve the absolute value inequality |3 7x| 11. Write the solution as an interval
and graph it.
2
REVIEW SHEET 2
These problems are for practice. They are not meant to replace the recommended homework problems, and may or may not represent problems on the
exam.
Problem 1: Find the derivatives of the following functions. Simplify your
answers if possib
REVIEW SHEET 1
These problems are for practice. They are not meant to replace the recommended homework problems, and may or may not represent problems on the
exam.
Problem 1: A mainframe computer salesmans monthly salary (S) in dollars
is a function of th
REVIEW SHEET 1
These problems are for practice. They are not meant to replace the recommended homework problems, and may or may not represent problems on the
exam.
Problem 1: A mainframe computer salesmans monthly salary (S) in dollars
is a function of th
REVIEW SHEET 3
These problems are for practice. They are not meant to replace the recommended homework problems, and may or may not represent problems on the
exam.
Problem 1:
(a) Sketch the region in the xy-plane bounded by the graphs of y = 1+ln(x+
1) an
REVIEW SHEET 1
These problems are for practice. They are not meant to replace the recommended homework problems, and may or may not represent problems on the
exam.
Problem 1: A mainframe computer salesmans monthly salary (S) in dollars
is a function of th
REVIEW SHEET 1
These problems are for practice. They are not meant to replace the recom-
mended homcwork problems, and may or may not represent problems on the
exam.
Problem 1: A mainframe computer salesman's monthly salary (S) in dollars
is a function of
GEO Exam 1 Study Guide
Terrestrial (Inner) Planets Mercury, Venus, Earth, Mars
Jovian (outer) Planets Jupiter, Saturn, Uranus, Neptune
Asteroid Belt Disk of debris at the edge of the solar system
Red Shif longer wavelengths moving away
Blue Shif Shorter w
MTH 111 Summer 2011
Assignment 1 Solutions
1. (a) Solve the inequality 2 5x 13. Write the solution in the interval form and
graph the solution.
Solution:
15
= 3.
5
The solution in the interval form is (, 3]. The graph for this solution is
5x 15 = x
-8 -7
MTH 111 Summer 2011
Practice Midterm 1 Solutions
1. (10 points) Circle T if the statement is true and F if the statement is false.
No justications required. No partial credits.
(a) T F On simplication a4 a5 becomes a20 .
(b) T F If f = cfw_(0, 2), (2, 2),
MTH 111 Summer 2011
Practice Midterm 2 Solutions
1. (10 points) Circle T if the statement is true and F if the statement is false.
No justications required. No partial credits.
(a) T F The function f (x) = x4 is an even function.
(b) T F A parabola open d
Precalculus Notes Lecture 1
Real numbers natural numbers 1,2,3,4 Whole numbers include 0,1,2,3,4 Integers -1,2,3,0,1,2,3 Rational fractions can be represented by where a and b represent real numbers.
Irrational numbers include . Properties of real numbers
Solutions for Math 111 Quiz 2 1. Solve the following inequality and express your answer in interval notation: (4 pts) |x + 2| < 3 -3 < x + 2 < 3 -3 - 2 < x + 2 - 2 < 3 - 2 -5 < x < 1 In interval notation the answer is (-5, 1).
2. Find the center and the r
Solutions for MTH 111 Quiz 3 1. The graph of 4x - 2y + 1 = 0 crosses the y-axis at y = . (2 pts) Solution 1: Plug in the equation x = 0 and solve for y. Thus we have 4 0 - 2y + 1 = 0 -2y + 1 = 0 -2y = -1 y = 1 2
Solution 2: Solve the given equation for y
Solutions for Math 111 Quiz 1 1. Simplify the following: (Your answer should be a simple fraction in lowest terms.) (4 pts) xy 2 xy (x + y)2 (x + y)3 xy(x + y)3 xy(x + y)2 xy(x + y)2 (x + y) = = = = $ 2 $ 2y = 2y 2y 2 x+y x (x + x x x y $ y)x x y 3 (x + y
NAME:
University of Rhode Island
Quiz, Set 6
MTH 111
July 16
Summer 2013
7:00 - 7:30 pm
6.1 [1 point] Factor the polynomial f (x) = x3 x2 8x + 12 and determine the multiplicity of
each null.
6.2 [2 points] Solve each equation.
(a) (1/3)x = 27.
(b) 102x
NAME:
University of Rhode Island
Quiz, Set 7
MTH 111
July 18
Summer 2013
7:00 - 7:30 pm
7.1 [1 point] Write the equation 10x+1 = 5 as an equivalent logarithmic equation.
7.2 [1 point] Write the equation ln(y + 2) = 7 as an equivalent exponential equatio