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 = 8;
T = 3 seconds
A. d = -8 sin 
B. d = -8 cos 
C. d = -3 cos 
D. d = -8 cos 
Answer: B
Mathematics
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Solve the problem.The total sales made by a salesperson was $25,000 after 3 months and $68,000 after 23 months. Predict the total sales after 45 months.
A. $115,270 B. $115,300 C. $115,342 D. $115,400
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Evaluate the line integral along the curve C.
ds , C is the path from (1, 1, 0) to (e10, e10, 1) given by:C1: r(t) = e10ti + e10tj, 0 ? t ? 1C2: r(t) = e10i + e10j + 7tk, 0 ? t ? 1
A. 
(e30 - 1) + e20 + 
e10
B. 
(e30 - 1) + 7e20 + 49e10
C. 
(e30 - 1)
D. 
(e30 - 1) + 7e20 + 
e10
Mathematics
Sketch the graph for the equation by plotting points.y = 2x - 6
A. 
B. 
C. 
D. 
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Write the inequality using interval notation. Graph the inequality.-4 ? x ? 0
A. (-4, 0]
B. (-4, 0)
C. [-4, 0)
D. [-4, 0]
Mathematics