Apply Green's Theorem to evaluate the integral.
(8y + x) dx + (y + 4x) dyC: The circle (x - 1)2 + (y - 3)2 = 4
A. -16
B. -16?
C. 16?
D. -60
Answer: B
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Solve the problem.A company knows that the unit cost C and the unit revenue R from the production and sale of x units are related by 
Find the rate of change of unit revenue when the unit cost is changing by 
and the unit revenue is $4000.
A. $238.30/unit B. $334.40/unit C. $280.00/unit D. $430.50/unit
Use a product-to-sum identity to rewrite the expression.cos 12° sin 42°
A. 0.5(sin(54°) + sin (30°)) B. 0.5(cos(54°) - cos (30°)) C. 0.5(cos(54°) + cos (30°)) D. 0.5(sin(54°) - sin (30°))
Solve the problem, rounding the answer as appropriate. Assume that "pure dominant" describes one who has two dominant genes for a given trait; "pure recessive" describes one who has two recessive genes for a given trait; and "hybrid" describes one who has one of each.Suppose a hybrid mates with a pure dominant. If they produce two offspring, what is the probability that neither is a hybrid?
A. 0.50 B. 0.75 C. 0.25 D. 0.125
Find the remaining sides and angles of the triangle ABC, with right angle at C. Round to the nearest tenth if necessary.B = 37°, c = 18
A. A = 53°, a = 10.8, b = 14.4 B. A = 53°, a = 13.6, b = 10.8 C. A = 53°, a = 14.4, b = 13.6 D. A = 53°, a = 14.4, b = 10.8