Solve the given differential equation.2 + 9 + 9y = 2x

A. y = c1e-3x + c2e-3x/2 +  + x
B. y = c1e3x + c2e3x/2 -  + x
C. y = c1e-3x + c2e-3x/2 -  + x
D. y = c1e-3x + c2e-3x/2 -  - x

Answer: C

Mathematics

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Solve the initial value problem.t + 7y = t3; t > 0, y(2) = 1

A. y =  + t-7, t > 0
B. y =  + t-7, t > 0
C. y =  + t-7, t > 0
D. y =  - t-7, t > 0

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Using a sum or difference identity, write the following as an expression involving functions of ?.tan 

A. -tan ?
B.
C.
D. tan ?

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Determine the local extrema of the function.f(x, y) = x3 - 12x + y2

A. f(0, 0) = 0, minimum B. f(2, 0) = -16, minimum C. f(0, 2) = 4, maximum D. f(0, 0) = 0, maximum

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Graph the numbers on the real number line.x ? 6

A.

B.

C.

D.

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Mathematics