Use the trigonometric substitution u = a csc ?, where 0 < ?< ?/2 and a> 0 to simplify the expression 
.
?
A. a tan ?
B. - a cot ?
C. a csc ?
D. a cos ?
E. a cot ?
Answer: E
Mathematics
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Find the average value of 
over the given region.
over the rectangular solid in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 45
B. 20
C. 
D. 30
Mathematics
Evaluate the given function with the following information: sin ? = 
(? in first quadrant) and cos ? = - 
(? in second quadrant).sin(? - ?)
A. - 
B. 
C. - 
D. 
Mathematics
The rectangular coordinates of a point are given. Find polar coordinates of the point. Express ? in radians.(-4, 0)
A. 
B. 
C. (4, 0)
D. (4, ?)
Mathematics
Find an equation of variation in which the following are true.y varies directly as the square of x, and y = 5.6 when x = 4.
A. y = 0.35x2
B. y = 1.92x2
C. y = 0.4x2
D. y = 0.39
Mathematics