Determine whether the given function satisfies a Laplace equation.f(x, y, z) = cos (-8x) sin (8y) e(
z)
A. Yes
B. No
Answer: B
Mathematics
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Find the standard-form equation of the hyperbola centered at the origin which satisfies the given conditions.Foci at (-15, 0), (15, 0); asymptotes: y = 
x, y = - 
x
A. 
- 
= 1
B. 
- 
= 1
C. 
- 
= 1
D. 
- 
= 1
Mathematics
Find the indicated vector.Let u = 
, v = 
. Find 
u + 
v.
A. 
B. 
C. 
D. 
Mathematics
Add the polynomials.(5x3 + 9x + 8) + (9x2 + 5x - 3)
A. 14x3 + 18x2 + 8x - 3 B. 5x3 + 18x2 + 13x - 3 C. 5x3 + 9x2 + 14x + 5 D. 14x3 + 14x + 5
Mathematics
Solve the problem.Let D be the region bounded below by the xy-plane, above by the sphere 
and on the sides by the cylinder 
. Set up the triple integral in cylindrical coordinates that gives the volume of D using the order of integration 
.
A. 
B. 
C. 
D. 
Mathematics