Find the area of the specified region.Inside the lemniscate r2 = a2 sin 2?, a > 0
A. 
B. 0
C. a2
D. ?a2
Answer: C
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Identify the conic that the polar equation represents. Also, give the position of the directrix.r = 
A. ellipse, directrix perpendicular to the polar axis 3 right of the pole B. hyperbola, directrix perpendicular to the polar axis 3 left of the pole C. ellipse, directrix perpendicular to the polar axis 3 left of the pole D. hyperbola, directrix perpendicular to the polar axis 3 right of the pole
Use a Venn diagram to answer the question.A survey of 240 families showed that91 had a dog;70 had a cat;31 had a dog and a cat;91 had neither a cat nor a dog, and in addition did not have a parakeet;7 had a cat, a dog, and a parakeet.How many had a parakeet only?
A. 24 B. 34 C. 29 D. 19
Use a 3D grapher to graph the function. Then estimate any relative extrema.f(x, y) = ex + ey
A. No relative extrema B. Relative minimum = 0 C. Relative minimum = 2 D. Relative minimum = 2e
Find the integral by using integration by parts or other techniques. Round the answer to four decimal places if necessary.
A. 6e2x(2x2 - 2x + 1) + C B. 24e2x(2x2 - 2x + 1) + C C. 12e2x(2x2 - 2x + 1) + C D. 6e2x(x2 - x + 1) + C