Find the potential function f for the field F.F = (ey2 - sin x)i + 2xyey2j + k
A. f(x, y, z) = cos x + xey2 + z + C
B. f(x, y, z) = cos x + ey2 + z + C
C. f(x, y, z) = cos x + xzey2 + C
D. f(x, y, z) = cos x + ey2(x + z) + C
Answer: A
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Solve the problem.For the vectors u and v with magnitudes 
= 5 and 
= 6, find the angle ? between u and v which makes 
= 3
A. 60.00° B. 53.13° C. 33.56° D. 36.87°
Determine the indefinite integral. Check your work by differentiation.
dt
A. -9sin t + C
B. -9 cos t + C
C. - 
+ C
D. - 
+ C
Use Method I to simplify the complex rational expression.
A. k - 6
B. 
C. 
D. 
Your company produces at most 15 items per week. Its profit P is a function of n, the number of items produced in a week. The marginal profit is given by
.
A: Make a graph of 
versus n.B: For what values of n is the profit increasing?C: How many items per week should be produced in order to maximize profit?
What will be an ideal response?