Find the area of the specified region.Inside one loop of the lemniscate r2 = 8 cos 2?
A. 2
B. 8
C. 16
D. 4
Answer: D
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Determine whether the given function satisfies Laplace's equation.f(x, y) = cos (x) sin (-y)
A. Yes B. No
Find the expected value.An insurance company will insure a $260,000 home for its total value for an annual premium of $560. If the company spends $30 per year to service such a policy, the probability of total loss for such a home in a given year is 0.001 and you assume either total loss or no loss will occur, what is the company's expected annual gain (or profit) on each such policy?
A. $300 B. $270 C. -$260 D. $220
Provide an appropriate response.A 150-foot line is attached to a kite 2 feet from the base (bottom point) of the kite. When the line is completely out (150 feet) and taut, the angle of elevation to the kite is 55°. How high is the base of the kite from the ground? 
A. 212 ft B. 121 ft C. 123 ft D. 84 ft
Solve the compound inequality. Express the solution using interval notation or state that there is no solution.2x - 8 > 2 or -x + 4 ? -4
A. (5, 8] B. (-?, ?) C. (5, ?) D. [5, 8)