Math 2
Review for Chapters 7.1, 7.2, 9, 10, & 8.1
1.
Given ABC with A 67, a 100, and c 125.
a) Determine the number of solutions.
b) Find all of the remaining parts, if possible.
2.
Given ABC with a 12.4, b 8.7, and B 36.7.
a) Determine the number of solu

MATH 2 EXAM #5 NAME: '01.-
sina _ sin
a_b
l. Prove that in any triangle
2. Find the remaining parts of the following triangles with given information;
a. a=2,c=1,y=25 b. a=3,b=5,c=7
3. Sketch the graph of each of the following equations. In each case

MATH 2 EXAM #4 NANIE: L:
1.
10.
Find the exact value of each of the followings:
l 1
a. tan(75) h. sin(165) c. cosl2r
. . 4 1 .
Two angles a and 1? are m the same quadrant, sma = _g and tan [3 = E Find:
a. sin(a + ) b. cos(a +1?) (I. the quadrant containin

MATH 2 EXAM #2 NAME: ~ 3%:
Please Note: Use only one side of the provided blank papers. Do the problems in order. Use the same
guidelines as in your homework assignments. Show all your work to backup your
answers. Merely stating the answer of a problem re

MATH 2 EXAM #1 NAME: m ~
Please Note: Use only one side of the provided blank papers. Do the problems in order Use the same
guidelines as in your homework assignments Show all your work to backup your
answers Merely stating the answer of a problem results

Use mathematical induction to show the following statement is true for all
positive integers ( Z+ ).
n ( 3n + 7 )
5 + 8 + 11 + . . . + ( 3n + 2 ) =
2
(1)
Show statement is true for n = 1.
5 = 1 ( 3(1) + 7 ) = 10 = 5
2
2
(2)
Assume statement is true for n

Solution Test 5
Q.1: Sketch the graph of y= 6 tan1 x . Use appropriate scaling
to fit the graph on the template provided here. Use at least two
helping points to make the graph accurate. If any asymptote
involved, use different color to plot them. (5 poin

SolutionTest 4
Q.1: a. A drawbridge is 150
feet long when stretched
across a river. As shown in
the figure on the RHS, the
two sections of the bridge
can be rotated upward
through an angle of 35o .
\
a. If the water level is 15 feet below the closed bridg

Grading Procedure: The final grade in this course will be determined by points obtained on unit
exams, problem sets, quizzes, and the final exam. There is NO extra credit.
The grading scale is (on the total number of points) 90-100% for an A; 80-89% for a

Math 2
Review for Chapters 1 & 2
1.
Find an equation of the line a) parallel and b) perpendicular to the line 5 x 9 y 3 and passing through (4,1) .
2.
A circle is given by the equation x 2 y 2 8 x 6 y 24.
a) Give the equation in standard form.
b) Give the

Math 2
Review for Chapters 5.3-5.7 and 6
Give exact values, if it exists.
1. sin 19 2
5.
2.
tan 11 2
3. cot 11 6
4. csc 8 3
6. cos 2 12
sin 2 12
2 sec 11 4 4sin 7 2
7.
If sec 53 and < < 3 2 , find the exact values of all of the other trig ratios.
8

SOLUTION Quiz1
Q.1: Simplify.
Q.3: According to your Course Syllabus what is the exact office
hours? Where is the location for the office hours?
1/3
2 1
2/3
(3 x+2) (2)(4 x5)(4)+(4 x 5) ( )(3 x+2) (3)
3
=(3 x+2)2/3 (4 x5)(8(3 x+2)+4 x5)
2/3
=(3 x+2) (4 x5

Math 2
1.
Review for Chapter 2.6 and 3
Given that f ( x) 2 x 2 16 x 26
a) Rewrite the above function in f ( x) a ( x h) 2 k form.
b) Using a series of transformations (shifting, compressing, stretching, and/or reflection), sketch its graph.
2.
Among all r

Math 2
1.
Review for Chapters 2.7; 4; 5.1, 5.2
Given two functions f and g such that f ( 4) 7, f ( 1) 4, f (4) 8, g ( 4) 4, g ( 1) 3, and g (4) 2.
a) Find
2.
f g (4)
b) Find ( f f )( 1)
x 2 , if x 0
3 x, if x 2
Let f ( x)
and g ( x)
.
x 1, if x 2
5 x

Solution Quiz 2
Math 2 - PreCALCULUS
Q.4: An arch has the shape of the parabola y=4 x 2 . A rectangle is
y
Q.1: Sketch the graph of
y=x 31 on the template
7
fit under the arch by selecting a point (x, y) on the parabola.
a. Express the area A of the recta

Solution Quiz 3
Math 2; Winter 2013
x 0
f (x ) +
Q.1: Sketch the graph of only one of the given rational functions. Use
proper scaling to fit your graph on template provided.
2
a.
x 2 x+1
x 39 x
f ( x)=
x-intercept:
f (x )=0 x 2 2 x +1=0
( x1)2 =0 x=1
H.A

Solution Quiz 4
Math 2-Winter 2013
y
Q.1: Sketch the graph of on the template
5
provided. Verify your graph by labeling at
least 3 points on the graph.
x
b.
6
4
3
2
x
e e
f ( x )=
2
1
x
-3
-2
-1
1
2
3
-1
-2
We use transformation to graph.
-3
-4
-5
-6
c.
y

Quiz 6; 1/24/2013
Last 4-digit of SID:
Answer to ONLY TWO Questions.
Q.6: Make the trigonometric substitution x=a sin in
Q.1: From a point P on level ground, the angle of elevation of
the top of a tower is 26 o 50 ' . From a point 25.0 meters closer to
a

MATHZ EXAM#3 NAME: 4 lgg 2
1. Solve each of the following equations:
a. 32H = 2" . b. log2 (x)log2 (x 2) = 3
3
2. Half life of a radioactive material is 2400 years. How long does it take for g of the radioactive
material to decay? @
3. Find the exact valu