College Algebra II
Guide Problems for Test 2
1. Find the focus and directrix of the parabola whose equation is
2
y =6 x , and sketch the
graph.
2. Find an equation of the parabola that has vertex at the origin, opens upward, and passes
through the point (
College Algebra I
Name:
Quiz I
May 31, 2016
Show all necessary workno work, no credit. Partial credit will be given for any work
which clearly demonstrates the understand of the concepts
7 10 1
1. Let s=cfw_21,0,1, 7 , 5 , 8 , 13 ,7 8 ,0.279, 0.56 7 , , ,
Precalculus
1. Let
a.
b.
c.
d.
Guide Problems for the Final Exam
P ( x )=2 x 3 +9 x 2+ x12
Show that -4 is a zero of P(x)
Find the other zeros of P(x)
Express P(x) as a product of linear factors.
Solve P( x) 0 . Express the solution using interval notatio
College Algebra I
Name
Test III
June 20, 2016
Show all necessary workno work, no credit!
1. Specify the domain of each of the following functions.
2
f ( x )=
a.
3
b.
f ( x )=
5 3
x +7 x 2 +14
2
c.
f ( x )=
13 x
2
2 x x1
2. Find (a) the distance d(A, B) be
College Algebra I
Guide Problems for Test II
1. Solve each of the following equations.
2 ( x4 ) ( 3 x1 )=2+ ( x +1 )
a.
b.
4 x1 5 x +2
=3
10
4
c.
2 x +7 x7
=4
9
12
2. Solve each of the following equations by factoring.
6 n2 +n12=0
a.
b.
2
24 x + 23 x 12=0
College Algebra II
Guide Problems for Test II
1. Find the solution of each of the following system of equations using a. elimination by
addition, and b. Gramers Rule
2 x + y =2
a.
4 x 5 y =17
b.
x2 y+ z=4
2 x + y z=5
3x+2y+4z=3
2. Use matrix inverses to s
College Algebra II Problems
1. Find the intercepts ad asymptotes and then sketch a graph of the rational function f
2 x 2 +2 x4
(
)
f
x
=
defined by
x2 + x
2. Do part (a) and part (b) or part (c).
a. Find the focus, directrix, and focal diameter of the gi
Guide Problems for Test III
1. Graph each of the following linear functions.
y=2 x4
a.
2 1
y=
x+
b.
3
2
c.
f ( x )=3
2. Graph each of the following quadratic functions.
2
f ( x )=x +1
a.
b.
f ( x )=3 x 2
c.
y=2 x24 x +1
d.
y4 x 8 x5
2
2
3. If f(x)= x 1g (
Precalculus Guide Problems for Test II
3
3
1. Given that tan = 2
<2 , find the other five trigonometric functions of .
2
2. Evaluate each of the following expressions without the aid of a calculator.
cos (930 )
a.
b.
sin 540
c.
tan 480
d.
cos1 3
2
e.
tan
Area and Volume Exam Questions
Q1.
Work out the total surface area of this triangular prism.
Q2. Here is a vase in the shape of a cylinder.
The vase has a radius of 5 cm.
There are 1000 cm3 of water in the vase.
Work out the depth of the water in the vase
Joy Kern
MA 101
April 19, 2016
They had all in Common
One of my all-time favorite Bible passages also happens to relate to personal finances.
Acts 4:32-35 says, Now the full number of those who believed were of one heart and soul, and
no one said that any
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7.5 Teen Pregnancy Work File
Complete each of the activities below.
Fact: Teenage mothers are more likely to drop out of school and only about one-third obtain a high school
diploma.
Fact: Teenage births are associated with lower annual income for the mot
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Shari Loveday
Algebra Section 6 — 2
Problems #: (59) 60, 72
# 59 Production Scheduling. A small manufacturing plant makes three types of inﬂatable boats: one-
person, two-person and four-person models. Each boat requires the services of three departments,
208
the derivative
2.9
Implicit and Logarithmic Differentiation
This short section presents two more differentiation techniques, both
more specialized than the ones we have already seenand consequently
used on a smaller class of functions. For some functi
2.6 related rates
2.6
Related Rates
Throughout the next several sections well look at a variety of applications of derivatives. Probably no single application will be of interest
or use to everyone, but at least some of them should be useful to you.
Appli
2.7 newtons method
2.7
Newtons Method
Newtons method is a process that can nd roots of functions whose
graphs cross or just kiss the x-axis. Although this method is a bit
harder to apply than the Bisection Algorithm, it often nds roots that
the Bisection