Find the area or volume.Find the area of the region in the first quadrant between the curve y = e-6x and the x-axis.
A. 6
B. 1
C. 
D. 
e
Answer: C
Mathematics
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Find the gradient field of the function.f(x, y, z) = 
5
A. ?f = 5
4i + 
j + 5
k
B. ?f = 
i + 
j - 5
k
C. ?f = 5
4i + 
j - 5
k
D. ?f = 5
4i + 
j + 5
k
Mathematics
Evaluate the integral.
A. - 
B. 
C. 
D. 
Mathematics
Sketch D and g(D) from the description of D and change of variables 
x = u cos v, y = u sin v where D is the rectangle 1 ? u ? 2, 0 ? v ? 
?
A.
 ? |  |
B.
 ? |  |
C. None of these.
D.
 ? |  |
Mathematics
Determine if the series converges absolutely, converges, or diverges.
A. converges conditionally B. Converges absolutely C. Diverges
Mathematics