Find the exact value of the trigonometric expression without the use of a calculator.cos
A. - 
B. - 
C. 
D. - 
Answer: B
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Find the average value of 
over the given region.
over the cube in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 32 B. 64 C. 96 D. 16
Find the coordinates of the vertices and the foci of the hyperbola.
- 
= 1
A. V(0, -12), V(0, 12), F(-12, 0), F(12, 0) B. V(-12, 0), V(12, 0), F(-20, 0), F(20, 0) C. V(-16, 0), V(16, 0), F(0, -12), F(0, 12) D. V(0, -16), V(0, 16), F(0, -20), F(0, 20)
Give a geometric description of the set of points whose coordinates satisfy the given conditions.(x - 6)2 + (y - 8)2 + (z - 2)2 < 16, - 2 ? z ? 0
A. All points within the lower hemisphere centered at (6, 8, 2) B. No set of points satisfy the given relations. C. All points outside the lower hemisphere centered at (6, 8, 2) D. All points on the lower hemisphere centered at (6, 8, 2)
A forester from his vantage point on a hillside sees a puff of smoke in a valley below him. He measures the angle of depression (the acute angle between the horizontal and the line of sight) to the smoke from his position to be 21°13'15" (see figure below). Find the measure of ?PSF in degrees, minutes and seconds.
