Find the average value of the function f over the given region.f(x, y) = 3x + 2y; R = {(x, y): 0 ? x ? 1, 0 ? y ? 1}
A. 4
B. 
C. 
D. 5
Answer: C
Mathematics
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Find the volume of the solid generated by revolving the region R bounded by the graphs of the given equations about the y-axis.bounded by y = x3, by the line 
, and by the x-axis
A. 
?
B. 64?
C. 
?
D. 
?
Mathematics
Find numbers a and b, or k, so that f is continuous at every point.
A. k = 49
B. k = 7
C. k = 
D. Impossible
Mathematics
Use the given graph to determine the limit, if it exists.
f(x)
A. 
B. 4
C. 3
D. does not exist
Mathematics
Find the position vector for the vector having initial point P and terminal point Q.P = (-3, -1, 4) and Q = (1, 4, -1)
A. v = -4i - 5j + 5k B. v = 2i + 5j - 3k C. v = -3i + 5j + 4k D. v = 4i + 5j - 5k
Mathematics