Use Cramer's rule to solve the linear system.9x - 9y - z = -30  x - 5y - 6z = -41-8x + y + z = -8

A. (3, 3, 3)
B. (2, 5, 3)
C. (2, -5, -3)
D. (5, 3, 5)


Answer: B

Mathematics

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Apply Green's Theorem to evaluate the integral.(4x + y3) dx + (3xy2 + 9y) dyC: Any simple closed curve in the plane for which Green's Theorem holds

A. -2 B. 0 C. 2 D. There is not enough information to evaluate the integral.

Mathematics

Find the coordinates of the centroid of the given figure. Each region is covered by a thin, flat plate.The region bounded by the parabola x = y2 and the line x = 9

A. (9, 0)
B.  
C.
D.

Mathematics

Simplify the expression by combining like terms.3z + 3 + 7z - 6

A. 13z B. 10z - 3 C. -4z + 9 D. 10z + 9

Mathematics

Factor by grouping.x2 + 4x + 3x + 12

A. (x - 4)(x + 3) B. 7x(x2 + 12) C. (x + 4)(x - 6) D. (x + 4)(x + 3)

Mathematics