Apply Green's Theorem to evaluate the integral.(y2 + 2) dx + (x2 + 3) dyC: The triangle bounded by x = 0, x + y = 6, y = 0

A. -648
B. 864
C. 0
D. 144


Answer: C

Mathematics

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Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = 16 - x2 between x = -4 and x = 4 using the "midpoint rule" with two rectangles of equal width.

A. 48 B. 96 C. 8 D. 32

Mathematics

Refer to the weighted voting system  and the Banzhaf definition of power. (The four players are P1, P2, P3, and P4.)The Banzhaf power distribution of the weighted voting system is

A. P1: 70%; P2: 10%; P3: 10%; P4: 10%.
B. P1: 40%; P2: 20%; P3: 20%; P4: 20%.
C. P1: 60%; P2: 20%; P3: 10%; P4: 10%.
D. P1: 75%; P2: 8%; P3: 8%; P4: 8%.
E. none of these

Mathematics

Solve the equation by the method of your choice.7x2 = -12x - 2

A.
B.
C.
D.

Mathematics

Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can be applied.

A. 4 B. 1/4 C. 0 D. does not exist

Mathematics