The foci F1 and F2, the vertices V1 and V2, and the endpoints U1 and U2 of the minor axis are as labeled in the figure. Graph the ellipse and find its standard equation. (The coordinates of V1, V2, U1, and U2 are integers, and the coordinates of F1 and F2 are given.)
A. 
- 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
- 
= 1
Answer: C
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Find the first few nonzero terms of the Maclaurin series for the given function.f(x) = etan x
A. x + x2 - . . .
B. 1 + x + . . .
C. 1 + x2 + . . .
D. 
+ 2x + . . .
Find an equation of the line having the given slope and containing the given point. m = 3, (0, 4)
A. y = 3x + 11 B. y = 3x + 9 C. y = 3x + 4 D. y = -3x + 2
Find the magnitude and direction angle (to the nearest tenth) for each vector. Give the measure of the direction angle as an angle in [0,360°].
A. 13; 157.4° B. 15; 157.4° C. 13; 112.6° D. 13; 22.6°
Solve.The outside of a water storage tank is in the shape of a sphere. If the radius is 14 feet, approximate the volume of the tank in cubic feet. (Use ? = 3.14 as the approximate value.)
A. 11,488.21 ft3 B. 820.59 ft3 C. 8616.16 ft3 D. 615.44 ft3