Find the first four nonzero terms of the Maclaurin expansion of the given function.f(x) = cos x3

A. x + 3x +  +  + ...
B. 1 - x3 +  -  + ...
C. 1 + 3x +  +  + ...
D. 1 -  +  -  + ...

Answer: D

Mathematics

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Solve the initial value problem for x as a function of t.(t2 + 4t) = 4x + 4, x(1) = 1

A. x =  - 1
B. x = 10 ln- 1
C. x =  - 1
D. x = 10t + ln  - 1

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Perform the indicated division and find a simplified expression.The average velocity of a certain particle in feet per second is given by 

A. 2t2 + 3t - 4
B. 2t2 + 3t - 5 + 
C. 2t2 - 4t + 3 + 
D. 2t2 - 3t - 4

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Graph the function.G(x) = 

A.

B.

C.

D.

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Solve the problem.The growth model f(t) =  describes the population of a species of butterflies  after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 14 months?

A. 5040 butterflies B. 1260 butterflies C. 360 butterflies D. 340 butterflies

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Mathematics