Solve the system, if possible. 

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What will be an ideal response?

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Mathematics

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Find all the second order partial derivatives of the given function.f(x, y) = cos xy2

A. fxx(x, y) = y2 sin xy2; fyy(x, y) = 2[2y2 cos (xy2) - sin (xy2)] ; fyx(x, y) = fxy(x, y) = 2y[y2 cos (xy2) - sin (xy2)]
B. fxx(x, y) = -y4 cos xy2; fyy(x, y) = - 2x[2xy2 cos (xy2) + sin (xy2)]; fyx(x, y) = fxy(x, y) = - 2y[xy2 cos (xy2) + sin (xy2)];
C. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2[ sin (xy2)- 2y2 cos (xy2)] ; fyx(x, y) = fxy(x, y) = 2y [sin (xy2)-y2 cos (xy2)]
D. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2y; fyx(x, y) = fxy(x, y) = 2

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Mathematics

Determine the coordinates of the indicated point on the graph. J

A. (-3, 0) B. (0, 3) C. (3, 0) D. (0, -3)

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Mathematics

Provide an appropriate response.Consider the statement Sn:  2 + 4 + 8 + ... + 2n = 2n + 1 - 2.Write the statement Sk + 1.

A. 2 + 4 + 8 + ... + 2k = 2k + 1 - 2 B. 2 + 4 + 8 + ... + 2k + 2k + 1 = 2k + 2 C. 2 + 4 + 8 + ... + 2k + 2k + 1 = 2k + 1 - 2 D. 2 + 4 + 8 + ... + 2k + 2k + 1 = 2k + 2 - 2

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Mathematics

Solve the equation.14z = -28

A. 28 B. 2 C. -2 D. -28

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Mathematics