MATH 32 FALL 2012
MIDTERM 1 - SOLUTIONS
(1) (6 points) Find all values of x satisfying the inequality
x+2
<2
x1
Solution: Well multiply both sides by x 1.
Case 1: x 1 0. This happens when x 1. Then we
MATH 32 MIDTERM 1 REVIEW
This is just a list of the main concepts and skills weve explored so far this semester.
Its purpose is to help you organize your studying for the midterm exam. Of course, not
MATH 32 FALL 2012
FINAL EXAM - PRACTICE EXAM SOLUTIONS
(1) You cut a slice from a circular pizza (centered at the origin) with radius 6 along radii at
angles and with the positive horizontal axis.
4
3
MATH 32 FALL 2012
MIDTERM 1 - PRACTICE EXAM SOLUTIONS
(1) Find all values of x satisfying the inequality
1
5
x
Solution: Case 1:
1
x
0. This happens when x > 0. Then
1
5
x
Case 2:
1
x
1
5
x
x
1
x
1
=
MATH 32 SPRING 2013
FINAL EXAM SOLUTIONS
(1) (10 points) Suppose you put $100 in a bank account which gives 6% interest compounded
monthly. If you dont add or remove money from the account, after how
MATH 32 SPRING 2013
FINAL EXAM SOLUTIONS
(1) (9 points) Fill in the following table:
Solution:
/6
5/4
sin
cos
1/
3
2
/2
2/2 2/2
2 2
2
/8
2+ 2
2
tan
1/ 3 = 3/3
1
22 = 2 1
2+ 2
/6 is one of our speci
MATH 32 FALL 2013 FINAL EXAM SOLUTIONS
(1) (12 points) Evalute the following
(a) tan(0)
Solution: tan(0) = 0.
(b) csc( )
8
Solution: csc( ) =
8
1
sin( )
8
To nd sin( ), well use the half angle formula
MATH 32 FALL 2013
MIDTERM 1 - SOLUTIONS
1
.
x
(a) Is f (x) an even function, an odd function, or neither? Explain.
(1) (12 points) For this problem, let f (x) =
Solution: f (x) =
1
1
= = f (x), so f (
MATH 32 SPRING 2013
MIDTERM 1 SOLUTIONS
(1) Suppose that the motion of a ball through the air is described by the equation h(t) =
t2 + 4t + 4, where h represents the height of the ball (in feet) after
MATH 32 FALL 2012
FINAL EXAM - PRACTICE EXAM SOLUTIONS
(1) (6 points) Solve the equation |x 1| = 3.
Solution: Since |x 1| = 3, x 1 = 3 or x 1 = 3. Solving for x, x = 4 or x = 2.
(2) In the triangle be