MAT 186 Academy of Chinese Culture and Health Sciences ?Precalculus Test

Precalculus questions. Due today by 2:30 pm Eastern Time.

Thank you for your help

Name:
MAT186 Test 3
1. Write the equation for the following graph:
2
1
-2
1
-1
2
3
-1
-2
-3
-4
-5
2. Given the recursive sequence 3, 4, 6, 10, 18, … find a formula for the general term an .
3. Solve the following system: 
2 y2 + xy = 5

4y+x =7
4. If the seventh term of an arithmetic sequence is 55 and the twenty-second term is 145, what is the eighteenth
term?
5. The center cable of a suspension bridge forms a parabolic arc. The cable is suspended from the tops of two
support towers, 800 feet apart. The tops of the towers are 170 feet above the road and the lowest point of the cable
is midway between the towers and ten feet above the road. Find the height of the cable above the road at a distance of 100 feet from a tower.
6. A brick staircase has a total of 30 steps. The bottom step requires 100 bricks. Each successive step requires two
less bricks than the prior step. How many bricks are required to build the staircase?.
MAT186 Test 3
7. Find the center and radius of x 2 + y2 + 2 x – 8 y + 8 = 0
8. Given the sequence 10, -5, 2.5, -1.25 … Find the sum of the first 11 terms.
9. The sum of two numbers is 16 and the difference of their squares is 96. Find the two numbers
10. Write the first five terms: an =
(-1)n
.
2 n!
11. Write the standard form of the hyperbola with vertices at (1, -5) and (1, 1)
and with foci at (1, 2) and (1, -6).
12. A ball is dropped from a height of 6 feet and begins bouncing. The height of each bounce is 3/4 the height of the
previous bounce. Find the total vertical distance the ball travels before coming to a rest.
2
MAT186 Test 3
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