Write the equation of a sine function that has the given characteristics.Amplitude: 4Period: ?Phase Shift: 
A. y = 4 sin (2x - 7)
B. y = 4 sin 
C. y = sin (4x + 7)
D. y = 4 sin 
Answer: A
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State the dual problem. Use y1, y2, and y3 as the variables. Given: y1 ? 0, y2 ? 0, and y3
Minimizew = 6x1 + 3x2subject to:3x1 + 2x2 ? 22 2x1 + 5x2 ? 38 x1 ? 0, x2 ? 0
A.
| Maximize | z = 22y1 + 38y2 |
| subject to: | 3y1 + 2y2 ? 6 |
B.
| Maximize | z = 22y1 + 38y2 |
| subject to: | 3y1 + 2y2 ? 6 |
C.
| Maximize | z = 38y1 + 22y2 |
| subject to: | 2y1 + 3y2 ? 6 |
D.
| Maximize | z = 38y1 + 22y2 |
| subject to: | 2y1 + 3y2 ? 6 |
Use the graph to guess possible linear factors of f(x). Then completely factor f(x) with the aid of synthetic division. f(x) = 5x3 + 33x2 + 31x - 69
A. f(x) = 
B. f(x) = 
C. f(x) = 
D. f(x) = 
Let M denote the midpoint of the line segment joining (4, 3) and (11, 6). Find the distance from M to the point (-6, -5). Round the answer to the nearest tenth. ?
A. 16.7 B. 16.1 C. 16.5 D. 15.9 E. 16.2
Find:
Enter your terms in the same order in which they appear in the integral with each term in standard power function form; any fractions reduced form 
.
What will be an ideal response?