Perform the indicated operation and write the answer in lowest terms. - 
? 
A. - 
B. 
C. - 
D. - 
Answer: C
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Find the average value of 
over the given region.
+ z2 over the cube in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 4 B. 8 C. 2 D. 12
Solve the problem.Let D be the region that is bounded below by the cone 
and above by the sphere 
Set up the triple integral for the volume of D in cylindrical coordinates.
A. 
B. 
C. 
D. 
Solve the problem.Find the length of each side of the triangle determined by the three points P1, P2, and P3. State whether the triangle is an isosceles triangle, a right triangle, neither of these, or both.P1 = (-5, -4), P2 = (-3, 4), P3 = (0, -1)
A. d(P1, P2) = 2
; d(P2, P3) = 
; d(P1, P3) = 5
right triangle
B. d(P1, P2) = 2
; d(P2, P3) = 
; d(P1, P3) = 
both
C. d(P1, P2) = 2
; d(P2, P3) = 
; d(P1, P3) = 
isosceles triangle
D. d(P1, P2) = 2
; d(P2, P3) = 
; d(P1, P3) = 5
neither
The graph of two equations along with the points of intersection are given. Substitute the points of intersection into the systems of equations. Are the points of intersection solutions to the system of equations (Y/N)?
x2 = y -1y = -2x + 16
A. Yes B. No