Using Green's Theorem, find the outward flux of F across the closed curve C.F = (-5x + 2y)i + (6x - 9y)j; C is the region bounded above by y = -5x2 + 250 and below by  in the first quadrant

A. 17,430
B. - 9880
C. 17290
D. - 


Answer: D

Mathematics

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Perform the indicated operations.5(4x + 4y)(4x - 7y)

A. 80x2 - 60xy - 140y2 B. 40x2 - 285xy - 140y2 C. 80x2 - 60xy - 4y D. 40x2 - 60xy - 140y2

Mathematics

Find the coordinates of the vertex of the quadratic function.f(x) = -(x + 2)2 + 6 

A. (6, 2) B. (6, -2) C. (2, 6) D. (-2, 6)

Mathematics

An objective function and a system of linear inequalities representing constraints are given. Graph the system of inequalities representing the constraints. Find the value of the objective function at each corner of the graphed region. Use these values to determine the maximum value of the objective function and the values of x and y for which the maximum occurs.Objective Functionz = 6x + 6yConstraintsx ? 0 0 ? y ? 5 2x + 3y ? 12 2x + 3y ? 20

A. maximum: 60; at (10, 0) B. maximum: 36; at (6, 0) C. maximum: -24; at (4, 0) D. maximum: 42; at (2, 5)

Mathematics

Solve the problem.Barnes and Able sell life, health, and auto insurance. Sales for May and June are given in the matrices. Life Health AutoM = J =    Find the matrix that would give total sales for the months of May and June.

A.

B.

C.  

D.

Mathematics