Find the derivative of y with respect to x, t, or ?, as appropriate.y = x4ln x - 
x3
A. x4ln x - x2 + 4x3
B. 4x3 - x2
C. x3 - x2 + 4x3ln x
D. 5x3 - x2
Answer: C
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Find a logistic function that describes the population. Graph the population function.The population increases from 350 to 700 in the first year and eventually levels off at 2,450.
A. P = 
B. P = 
C. P = 
D. P = 
Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = sin yi + xzj + 2zk ; D: the thick sphere 1 ? x2 + y2 + z2 ? 4
A. 56?
B. 
?
C. 16?
D. 
?
Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. If necessary, round answers to two decimal places.f(x) = x3 - 3x2 + 1; (-5, 5)
A. local minimum at (2, -3) B. local maximum at (0, 1) local minimum at (2, -3) C. local minimum at (0, 1) local maximum at (2, -3) D. none
Find the values of the variables.
= 
A. x = 4, y = -7, k = -3 B. x = 4, y = -3, k = 7 C. x = -4, y = 7, k = 3 D. x = 7, y = -3, k = -3