Find the instantaneous rate of change for the function at the value given.Find the instantaneous rate of change for the function f(x) = 5x2 + x at x = - 4.
A. -39
B. -14
C. -41
D. 6
Answer: A
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Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = -3y3i + 3x3j + 9z3k ; C: the portion of the paraboloid x2 + y2 = z cut by the cylinder 
A. 144? B. - 72? C. -144? D. 72?
The autonomous differential equation represents a model for population growth. Use phase line analysis to sketch solution curves for P(t), selecting different starting values P(0). Which equilibria are stable, and which are unstable?
= 1 - 6P
What will be an ideal response?
Use partial derivatives to find the implicit derivative  figures 4.png)
.
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Use inductive reasoning to predict the next line in the pattern. Then perform the arithmetic to determine whether your conjecture is correct.76 - 74 + 72 - 70 = 77 - 75 + 73 - 7186 - 84 + 82 - 80 = 87 - 85 + 83 - 81
A. 96 + 94 - 92 + 90 = 97 + 95 - 93 + 91 B. 96 + 94 - 92 - 90 = 97 + 95 - 93 + 91 C. 96 - 94 - 92 + 90 = 97 - 95 + 93 - 91 D. 96 - 94 + 92 - 90 = 97 - 95 + 93 - 91