Write the number in trigonometric form. Let 0° ? ? < 360°.5 + 5i

A. 5(cos 45° + i sin 45°)
B. 5(cos 225° + i sin 225°)
C. 5(cos 135° + i sin 135°)
D. 5(cos 315° + i sin 315°)


Answer: A

Mathematics

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Graph the function using its vertex, axis of symmetry, and intercepts.f(x) = x2 - 4x - 5

A. vertex (2, 9)
intercepts (5, 0), (- 1, 0), (0, 5)

B. vertex (-2, 9)
intercepts (-5, 0), (1, 0), (0, 5)

C. vertex (-2, -9)
intercepts (-5, 0), (1, 0), (0, -5)

D. vertex (2, -9)
intercepts (5, 0), (- 1, 0), (0, -5)

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Evaluate the improper integral or state that it is divergent.

A. 0.3333 B. -4.667 C. -2.3333 D. Divergent

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Write the partial fraction decomposition of the rational expression.

A.  + 
B.  + 
C.  + 
D.  + 

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Factor completely. If the polynomial cannot be factored, say it is prime.12x3 + 8x2y - 15xy2 - 10y3

A. (4x2 + 5y2)(3x - 2y) B. (12x2 - 5y2)(x + 2y) C. (4x2 - 5y)(3x + 2y) D. (4x2 - 5y2)(3x + 2y)

Mathematics