Solve the problem.Given f(x) = x3 + 3x2 - 3x - 5, find f(-6).

A. 100
B. -95
C. -90
D. 31

Answer: B

Mathematics

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Solve the given differential equation. + 16y = sin 4x

A. y = c1 sin 4x + c2 cos 4x + x cos 4x
B. y = c1 sin 4x + c2 cos 4x - x sin 4x -  x cos 4x
C. y = c1 sin 4x + c2 cos 4x - x sin 4x
D. y = c1 sin 4x + c2 cos 4x - x cos 4x

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Mathematics

Write the number in standard notation.8.71 x 105

A. 8,710,000 B. 871,000 C. 87,100 D. 435.5

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Mathematics

Evaluate the integral by using a substitution prior to integration by parts.

A. x 2 - 2x   + C
B. x 2 + 2x  - 2x + C
C. x 2 - x  + x + C
D. x 2 - 2x  + 2x + C

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Mathematics

Plot the given point in a Cartesian coordinate plane and state the quadrant, if any, in which the point is located.(-6, -1) 

A. Quadrant IV

B. Quadrant II

C. Quadrant III

D. Quadrant III

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Mathematics