Perform the indicated operation and simplify.
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Answer: D
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Find ?f.f(x, y, z) = (x3y2 - y6z3)e-z2
A. F = 3x2y2e-z2i + (2x3y - 6y5z3)e-z2j + y2ze- z2[y4z(2z2 - 3) - 2x3]k B. F = 3x2y2i + (6y5z3 - 2x3y)j + (2z2 - 3)y6z2k C. F = 3x2y2e-z2i + (2x3y - 6y5z3)e-z2j + (3 - 2z2)y6z2e-z2k D. F = 3x2i + (6y5 - 2y)j + 2z4e-z2k
Solve the system of equations. x + y + z = -9 x - y + 4z = -9 2x + 2y + 2z = -13
A. {(-4, -3, -2)} B. {(-2, -4, -3)} C. {(-2, -3, -4)} D. ?
Use a graphing calculator to approximate the real zeros of the function defined by f(x). Express decimal approximations to the nearest hundredth.f(x) = 3x4 + 6x3 - 3x2 +3x + 1
A. -5.06, 0.25 B. No real solution C. -2.53, -0.25 D. 0.25
An open box is to be made from a square piece of cardboard, on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure below). After determining the function V, in terms of x, that represents the volume of the box, use a graphing utility to estimate the dimensions that will maximize its volume.
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