A buoy oscillates in simple harmonic motion
as waves move past it. The buoy moves a total of 2.5 feet (vertically) between its low point and its high point. It returns to its high point every 8 seconds. Write an equation describing the motion of the buoy if it is at its high point at 
.
?
A. 
B. 
C. 
D. 
E. 
Answer: D
Mathematics
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Graph the curve described by the function. Use analysis to anticipate the shape of the curve before using a graphing utility.r(t) = cos 2t sin t i + sin 2t sin t j + 
k, for 0 ? t ? 16
A. 
B. 
C. 
D. 
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Solve the equation for x.y = sin x - ?
A. x = arcsin (y + ?) B. x = arcsin y - ? C. x = arcsin (y - ?) D. x = arcsin y + ?
Mathematics
Simplify the expression. Assume all variables represent positive real numbers.
A. 
B. 
C. 
D. 
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Factor the polynomial f(x). Then solve the equation f(x) = 0.f(x) = x3 + 5x2 - 9x - 45
A. (x + 3)(x - 3)(x + 5) ; -3, 3, -5 B. (x - 3)(x + 3)(x - 5) ; -3, 3, -5 C. (x + 3)(x + 3)(x - 6) ; 3, -3, 6 D. (x - 3)(x + 3)(x - 5) ; 3, -3, 5
Mathematics