Pre-calculus

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Spring 2020 Name: _________________________ MATH 175 – Test 2 - Part 1 (Show Your Work )

1. Solve Triangle ABC, given that 29 50 'A = , 5.21a = m, and 𝐵 = 62𝑜40′. Give angle(s) in degrees and minutes.

2. Solve Triangle ABC, given that 74 40 'B = , 8.92a = in, 6.43c = in. Give angles in degrees and minutes.

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3. Find an equation of the parabola 2

y ax bx c= + + that passes through the points (2, 3), (−1,0), and

(−2, 2).

4. Evaluate the determinant

7 9 3

7 6 2

8 1 0

−

− .

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5. Find the partial fraction decomposition for 5 4 3 2

3 2

2 15 13 11 18

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x x x x x

x x x

+ − − + −

− −