Solve the initial value problem.
= 9 sin 2 x cos x, y(0) = 6
A. y = 
cos 2 x + 6
B. y = - 3 sin 3 x - 6
C. y = 18 sin x cos x + 6
D. y = 3 sin 3 x + 6
Answer: D
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Write one or more inequalities that describe the set of points.The rectangular solid in the first octant bounded by the planes x = 1, x = 3, y = 2, y = 3, 
and 
(planes excluded)
A. The given planes do not form a rectangular solid B. x < y < z C. 1 < x < 3; 2 < y < 3; 2 < z < 6 D. x < 1, x > 3; y < 2, y > 3; z < 2, z > 6
Add and simplify. If the answer is an improper fraction, write it as a mixed number.
+ 
A. 
B. 
C. 
D. 
The point P on the unit circle that corresponds to a real number t is given. Find the indicated trigonometric function.
?Find cos t.
A. - 
B. - 
C. 
D. - 
Solve the problem.At a single ticket booth, customers arrive randomly at a rate of x per hour. The average line length is given by 
where 
To keep the wait in line reasonable, it is required that the average line length should not exceed 6 customers. Determine the range of rates at which customers can arrive before a second attendant is needed. Express your answer in interval form.
A. [0, 18] B. [0, 16] C. [0, 19) D. [0, 17]