Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (x2 + y2)i + (x - y)j; C is the rectangle with vertices at (0, 0), (8, 0), (8, 4), and (0, 4)

A. 96
B. -96
C. 160
D. 0


Answer: B

Mathematics

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Find the following root if it exists.-

A. -6 B. This root does not exist as a real number C. 10.645 D. -36

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Find the decimal equivalent of the fraction.

A. 1.75 B. 1.175 C. 1.65 D. 1.25

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Identify the equation without applying a rotation of axes.x2 + 12xy + 36y2 - 4x + 4y - 2 = 0

A. ellipse B. parabola C. hyperbola D. not a conic

Mathematics

Solve the problem.The wind chill factor represents the equivalent air temperature at a standard wind speed that would produce the same heat loss as the given temperature and wind speed. One formula for computing the equivalent temperature is W(t) = where v represents the wind speed (in meters per second) and t represents the air temperature . Compute the wind chill for an air temperature of 15°C and a wind speed of 12 meters per second. (Round the answer to one decimal place.)

Fill in the blank(s) with the appropriate word(s).

Mathematics