Find an equation for the sphere with the given center and radius.Center (0, 0, 6), radius = 3
A. x2 + y2 + z2 - 12z = -27
B. x2 + y2 + 3 z2 + 12z = -27
C. x2 + y2 + z2 + 12z = -27
D. x2 + y2 + 3 z2 - 12z = -27
Answer: A
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Integrate the function f over the given region.f(x, y) = 
over the region bounded by the x-axis, line 
and curve 
A. 6 B. 8 C. 1 D. 7
The function s gives the displacement (in ft) of an object as a function of time (in seconds). Calculate values of the average velocity for the given values of t and find the instantaneous velocity at the indicated value of t by noting the limit of the average velocities.s = 80t - 18t2 ; when t = 0.5; use values of t of 0.45, 0.49, 0.499, 0.4999
A. Average velocities: 22.9, 22.18, 22.018, 22.0018
v = 22 ft/s
B. Average velocities: 44.9, 44.18, 44.018, 44.0018
v = 44 ft/s
C. Average velocities: 62.9, 62.18, 62.018, 62.0018
v = 62 ft/s
D. Average velocities: 4.9, 4.18, 4.018, 4.0018
v = 4 ft/s
Give an appropriate answer.Let
f(x) = 10 and 
g(x) = 4. Find
[f(x) + g(x)]2.
A. 116 B. 14 C. 196 D. 6
Change the following fractions to mixed numbers:
9 39 a. Ä c. ÄÄ 8 16 15 b. ÄÄ 8