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
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A.
B.
C.
D.
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
B. A2 cm/sec2
C. A cm/sec2
D. cm/sec2
The function f is one-to-one. Find its inverse.f(x) = 5x + 7
A. f-1(x) =
B. f-1(x) = -
C. f(x) =
D. f-1(x) =
Write the slope-intercept form of the line that passes through the given point with slope m.Through (2, 2), m = -
A. y = x -
B. y = - x +
C. y = x +
D. y = - x +