Find the power series representation for f(x).f(x) = xe-2x

A. x - 2x2 +  -  + . . .
B. 1 - 2x +  -  + . . .
C. 1 - 2x2 -  -  - . . .
D. x + 2x2 +  +  + . . .


Answer: A

Mathematics

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Solve the problem.The position (in centimeters) of an object oscillating up and down at the end of a spring is given by  at time t (in seconds). The value of A is the amplitude of the motion, k is a measure of the stiffness of the spring, and m is the mass of the object. How fast is the object accelerating when it is accelerating the fastest?

A. A cm/sec2
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The function f is one-to-one. Find its inverse.f(x) = 5x + 7

A. f-1(x) = 
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Write the slope-intercept form of the line that passes through the given point with slope m.Through (2, 2), m = - 

A. y = x - 
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C. y = x + 
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