Precalculus homework help

 

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MAC 1147 TEST 4 REVIEW
LESSONS 8, 9, 10, 11
1. Find focus, directrix, and graph
A. x
2 = -9py
B. x
2 = 2p7
C. y
2 = 6px
D. y
2 = -4px
2. Wriye the equation of the parabola given vertex at (0,0) and directrix at x=4.
3. Find focus, vertex, and graph each ellipse.
A. 𝑥
2
16
+
𝑦
2
49
= 1 B. 𝑥
2
81
+
𝑦
2
16
= 1
4. Write the equation of an ellipse with focus at (5,0) and vertices at (8,0), centered at
(0,0).
5. Find focus, vertices, asymptotes, and graph each hyperbola
A. 𝑥
2
16

𝑦
2
9
= 1 B. 𝑦
2
36

𝑥
2
9
= 1
6. Find the equation of a hyperbola with intercept at (8,0) and focus at (11,0)
7. Evaluate the determinant | 2 3 4 |
| 0 5 1 |
| 6 0 7 |
8. Find the area of a triangle with coordinates A(2,5) B( 7,2) and C( 4, 8)
9. Solve by Cramer rule
A. 4x – 7y = 11 D= Dx= Dy =
5x + 7y = 3 x = y =
B. 4x – 3y +2z = 25 D= Dx= Dy = Dz=
x + y – z = 4 x = y = z =
3x + 2y – 5z = 4
10. Solve each non-linear system
A. y = √𝑥 − 1 and y= x – 3
B. y= x2
-7x +5 and y = 2x – 3
C. y= 3×2 +x – 5 and y = 2×2 –x – 2
D. x
2 – y
2 = 4 and 3×2 + y2 = 16
11. Find the fraction decomposition
A. 𝑤𝑥+2
𝑥
2−3𝑥−4

B. 2𝑥+5
𝑥
3+3𝑥
2

C. 𝑥+1
𝑥(𝑥+1)2

 

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