Apply Green's Theorem to evaluate the integral.
(4x + y3) dx + (3xy2 + 9y) dyC: Any simple closed curve in the plane for which Green's Theorem holds
A. -2
B. 0
C. 2
D. There is not enough information to evaluate the integral.
Answer: B
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Solve the problem.Find all points of the graph of f(x) = 2x2 + 2x whose tangent lines are perpendicular to the line - 30y = x.
A. (0, 0) B. (8, 144) C. (9, 180) D. (7, 112)
Solve the problem.The size of a population of lions after t months is P = 100 (1 + 0.2t + 0.02t2). Find the growth rate when
A. 160 lions/month B. 10,020 lions/month C. 140 lions/month D. 180 lions/month
Rationalize the denominator. Assume all variables represent positive numbers.
A.
B.
C.
D.
Determine if the sequence is decreasing or nondecreasing and if it is bounded or unbounded from above.an = ln
A. Decreasing; unbounded B. Nondecreasing; bounded C. Nondecreasing; unbounded D. Decreasing; bounded