Provide an appropriate response.Evaluate x2 - (xy - y) for x satisfying 
- 2 = 
and y satisfying -2y - 16 = 5y + 40.
A. -15, -8
B. 97
C. -120
D. 113
Answer: B
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Solve.The reservoir at the top of a water tower has the shape of a sphere with a radius of 15.1 meters. How many cubic meters of water can the reservoir hold? Use 3.14 for ? to approximate the answer to two decimal places if necessary.
A. 715.95 ft3 B. 10,810.87 ft3 C. 14,414.49 ft3 D. 954.6 ft3
Find the particular solution to the given differential equation that satisfies the given conditions.
+ y = 8x + cos 2x; 
= 0 and y = 8? when x = ?
A. y = 8 sin x - 
cos x + 8x - 
sin 2x
B. y = -8 sin x - 
cos x + 8x - 
cos 2x
C. y = 8 sin x - 
cos x + 8x - 
cos 2x
D. y = 8 sin x + 
cos x + 8x - 
cos 2x
Find the indicated cross product.v = 3i + 5j, w = 5i + 3kFind w × v.
A. -15j - 15k B. -15i + 9j + 25k C. -9i + 15j + 25k D. 25i + 15j - 15k
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.x2 - 16y2 - 2x + 128y - 271 = 0
A. center at (4, 1)
transverse axis is parallel to x-axis
vertices at (0, 1) and (8, 1)
foci at (4 - 
, 1) and (4 + 
, 1)
asymptotes of y - 1 = - 
(x - 4) and y - 1 = 
(x - 4)
B. center at (1, 4)
transverse axis is parallel to x-axis
vertices at (0, 4) and (2, 4)
foci at (1 - 
, 4) and (1 + 
, 4)
asymptotes of y - 4 = - 4(x - 1) and y - 4 = 4(x - 1)
C. center at (1, 4)
transverse axis is parallel to x-axis
vertices at (-3, 4) and (5, 4)
foci at (1 - 
, 4) and (1 + 
, 4)
asymptotes of y - 4 = - 
(x - 1) and y - 4 = 
(x - 1)
D. center at (1, 4)
transverse axis is parallel to y-axis
vertices at (1, 0) and (1, 8)
foci at (1, 4 - 
) and (1, 4 + 
)
asymptotes of y + 4 = - 4(x + 1) and y + 4 = 4(x + 1)