Find the average value of 
over the given region.
z7 over the rectangular solid in the first octant bounded by the coordinate planes and the planes 
, 
, 
A. 5184
B. 
C. 46,656
D. 1944
Answer: B
Mathematics
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By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit L and the smallest integer N such that 
for 
otherwise indicate divergence.an = n cos 
A. L = 0, N = 37 B. L = 1, N = 28 C. L = 0, N = 28 D. diverges
Mathematics
Reverse the order of integration and then evaluate the integral.
A. 
(e - 1)
B. 3(2e - 1)
C. 3(e - 1)
D. 
(2e - 1)
Mathematics
Evaluate the cylindrical coordinate integral.
A. 
B. 
C. 
D. 
Mathematics
Rewrite the quadratic function in standard form by completing the square.f(x) = x2 - 20x + 99
A. f(x) = (x + 10)2 - 1 B. f(x) = (x - 10)2 - 1 C. f(x) = (x + 10)2 + 1 D. f(x) = (x - 10)2 + 1
Mathematics