Find the volume of the solid generated by revolving the region about the y-axis.The region enclosed by x = 
, x = 0, y = 1, y = 4
A. 
?
B. 
?
C. 3?
D. 5?
Answer: C
Mathematics
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Find the gradient field of the function.f(x, y, z) = 
A. ?f = 
i + 2yj + 2zk
B. ?f = 
i + 
j + 
k
C. ?f = 
i + 
j + 
k
D. ?f = 
(x2 + y2 + z2)i + 
j + 
k
Mathematics
Does the network in the picture below have a Hamiltonian cycle? If the network has one, describe it.
?
What will be an ideal response?
Mathematics
Determine where the function is increasing and where it is decreasing.f(x) = x2 - 6x + 9
A. increasing on (-?, 3) decreasing on (3, ?) B. increasing on (-3, ?) decreasing on (-?, -3) C. increasing on (-?, -3) decreasing on (-3, ?) D. increasing on (3, ?) decreasing on (-?, 3)
Mathematics
?Sketch the graph of the function 
.
?
A. ?
B. ?
C. ?
D. ?
E. ?
Mathematics