Using Green's Theorem, calculate the area of the indicated region.The circle r(t) = (3 cos t)i + (3 sin t)j, 0 ? t ? 2 ?

A. 6?
B. 2?
C. 9?
D. 3?


Answer: C

Mathematics

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Solve the problem.A sensor light installed on the edge of a home can detect motion for a distance of  in front and with a range of motion of  Over what area will the sensor detect motion and become illuminated? Round your answer to two decimal places.

A. 12,468.98 ft2 B. 12,469.08 ft2 C. 6234.39 ft2 D. 6234.49 ft2

Mathematics

Provide an appropriate response.Graph f(x) = 3xand g(x) = 3x + 3 in the same rectangular coordinate system.

A.

B.

C.

D.

Mathematics

Write the decimal in words.4.91

A. Four and ninety-one tenths B. Four and ninety-one thousandths C. Four and ninety-one millionths  D. Four and ninety-one hundredths

Mathematics

Apply row operations to the augmented matrix to find the solution to the linear system.

A. x = 8, y = 8, z = 6 B. x = 8, y = -8, z = 6 C. x = -8, y = 8, z = 16 D. x = 8, y = 6, z = 8

Mathematics