Download 1. a) [Complete the second sentence so it is true, like a theorem

Precalculus. Test #3. Fall 2007 Name
Sections 1.1-4.5-6.3. Class time of day, section, or instructor
CORRECT ANSWERS WITH LITTLE OR NO SUPPORTING WORK WILL RECEIVE
LITTLE OR NO CREDIT. Include three or more correct significant digits when giving numerical
answers.
1. a) [Complete the second sentence so it is true, like a theorem.]
3)(x5)
We want to tell when the rational function (X-+ z
has a
x +c
vertical asymptote . "It has a vertical asymptote when c ......
b) Which grows faster, 2,4 or 2 °1 ?
c) Rewrite this in "exponential form": logib - c.
d) Solve -2x < 12.
2. Rewrite the interval "0.8 <x < 1.1" in the form "Ix - c' < d."
3. On earthquake had waves 40 times the size of another.
The lesser quake was a 5.3. What was the Richter scale
value of the greater quake?
x-5
4. Solve - > 2. [Show some work, of course.]
x-2
Problem
Points
1
8
2
4
3
4
4
6
5
585
6
10
7
6
8
8
9
8
10
10
II
10
12
8
total
100
Score
77
5. Solve algebraically (and show work . Without work, answers will get little or no credit):
a) 3e"= 17.
b) 095(1,04) 2 = 1 .07
c) log(x+2) - log(x) = 1.2.
6. A bacterial population grows 40 percent every 35 minutes. When will Abe 6 times its original size?
Trigonometry : Set your calculator to DEGREE mode.
Law of Cosines: c2=a2-Fb2- tab cos C.
Law of Sines: (sin .4)/a=(sin B)/b.
7. a) Give the exact ( not decimal ) value of cos(45°).
b) Find a solution in the third quadrant to "sin x = -.35."
8. a) Find side k in the given right triangle.
(Angle 58°, hypotenuse 92.)
b) Find angle 0 in the given right triangle:
(Leg 85, other leg 46)
q6
8S
9. Here is a triangle (not a right triangle) with three parts given.
(AngleA-=48,b=114ande-68.) Find angle B.
C
10. [See the picture ] Side a is twice as long as side b, side c = 48, and angle B= 27°. Use the Law of
Cosines to find side b.
0.
11. A triangle has sides 40 and 60 and area 950. Find the other side.
12. [See the figure.] A regular pentagon with five equal sides is inscribed in a circle.
If the radius of the circle is 50, what is the perimeter of the pentagon?