3450:149 PreCalculus, Summer 2010, Norfolk
Quiz 1 June 25, 2010
Name:
Show your work
1. (5 points) Solve the inequality
x2 + 4x 5
0.
(x + 3)2
2. (5 points) Find the inverse function f 1 (x), given f (x) =
What is the domain of f 1 ?
3. (5 points) Solve 3
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Name
Test 3
3450:149 PreCalculus
June 27, 2008
Show your work.
Dr. Norfolk
1. Given sec = 4 and csc < 0, nd the exact values of
(a) sin 2.
(b) cos
.
2
10 points
2. Use the identity sin sin = 2 cos
+
sin
to exactly nd all solutions to:
2
2
sin 4
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Name
Test 2
3450:149 PreCalculus
July 16, 2010
Show your work.
Dr. Norfolk
1. The tire of a car rotates at 1300 revolutions per minute.
(a) Find the angular velocity in radians per second.
5 points
(b) If the diameter of the tire is 15 inches,
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Name
Test 2
3450:149 PreCalculus
July 17, 2009
Show your work.
Dr. Norfolk
1. Let = 5 radians.
(a) (4 points) Find the quadrant in which lies.
(b) (6 points) Give the signs of cot and csc .
10 points
2. A circular dial has 17 equally spaced mar
Test Total
Name
Test 1
3450:149 PreCalculus
July 2, 2009
Show your work.
Dr. Norfolk
1. Inequalities
1
(a) Solve 3x + 4 .
x
10 points
(b) Solve x4 6x2 > 0.
10 points
2. Inverse Functions. Given f (x) =
x1
, nd f 1 (x), write Domain(f ) and Range(f ).
2x +
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Test 2
3450:149 PreCalculus
June 13, 2008
Show your work.
Dr. Norfolk
1. Let = 3 radians.
(a) (4 points) Find the quadrant in which lies.
(b) (6 points) Give the signs of cos and sin .
10 points
2. A circular dial has 13 equally spaced mar
Test Total
Name
Test 3
3450:149 PreCalculus
July 31, 2009
Show your work.
Dr. Norfolk
1. Given csc = 6, cos < 0 and 0 < 2 , nd the exact values of
(a) cos 2.
(b) sin
.
2
10 points
2. Use the identity sin + sin = 2 sin
+
cos
to exactly nd all solutions to:
Test Total
Name
Test 3
3450:149 PreCalculus
July 30, 2010
Show your work.
Dr. Norfolk
1. Given sec = 7, csc < 0 and 0 < 2 , nd the exact values of
(a) cos 2.
5 points
(b) sin 2.
5 points
(c) cos
.
2
5 points
(d) sin
.
2
5 points
Page 1 Total (20)
2. Prove
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Name
Test 4
August 13, 2010
Show your work.
1. Solve for x:
3450:149 PreCalculus
Dr. Norfolk
x 2 1
01
5 = 27.
31
x
10 points
2. Write the equation of the parabola y 2 8x + 6y + 13 = 0 in standard form.
Write the values of the focus, directrix a
3450:149 PreCalculus, Summer 2010, Norfolk
Quiz 4, August 6, 2010
Name:
1. (5 points) Find an explicit formula to generate the sequence
n
2. (5 points) Given that
1
k = n(n + 1) and
2
k=1
0 3 8 15 24
, , ,
, .
2 9 28 65 126
n
143
(4j 3).
1 = n, nd the val
3450:149 PreCalculus, Summer 2010, Norfolk
Quiz 3, July 23, 2010
Name:
1. (5 points) Prove that
1
= sec + tan .
sec tan
2. (5 points) Find the exact value of cos
31
6
31
6
cos
+ sin
sin
28
7
28
7
1
3. (5 points) Find the solutions for 0 x < 2 of the equa
3450:149 PreCalculus, Summer 2010, Norfolk
Quiz 2, July 9, 2010
Name:
1. (5 points) A bicycle has wheels with 26 diameter, rotating at 380 revolutions per
minute.
(a) Find the angular velocity in radians per second.
(b) How fast is the bicycle moving, in
Test Total
Name
Test 1
3450:149 PreCalculus Dr. Norfolk
May 30, 2008
Show your work.
1. Inequalities
(a) Solve
2x + 1
3.
x2
10 points
(b) Solve x3 + 3x4 > 0.
10 points
2. Inverse Functions. Given f (x) =
3x 2
, nd f 1 (x), write Domain(f ) and Range(f ).