For the parametric equations given, use a graphing calculator to generate the curve over the stated interval for the parameter t. Use the window specified. Also, find a rectangular equation for the curve.x = t2, y =  + 4, for t in [0, 4]

A.

The rectangular equation for the curve is
y = x + 1, for x in [0,16].
B.

The rectangular equation for the curve is
y =  + 1, for x in [0,16].
C.

The rectangular equation for the curve is
y = x2 + 1, for x in [0,2].
D.

The rectangular equation for the curve is
y = + 4, for x in [0,16].


Answer: D

Mathematics

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An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.a = 5;T = 10 seconds

A. d = 5 cos (10t)
B. d = -5 cos 
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A. -2 B. 2 C. 1 D. -1

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