Use the two-stage method to solve.Find x1 ? 0 and x2 ? 0 such that  3x1 + 3x2 ? 60  2x1 + 5x2 ? 120and z = 5x1 + 4x2 is maximized.

A. x1 = 60, x2 = 0, z = 300
B. x1 = 40, x2 = 8, z = 232
C. x1 = 30, x2 = 20, z = 230
D. x1 = 0, x2 = 24, z = 96


Answer: A

Mathematics

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A. ln |4x2 + 2x - 1| + C
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C. (8x + 2) ln |4x2 + 2x - 1| + C
D. ln  + C

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Determine if the given function y = f(x) is a solution of the accompanying differential equation.Differential equation: xy' + y = Initial condition: y(9) = 2Solution candidate: y =  + 

A. No B. Yes

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Use inductive reasoning to predict the next number in the sequence.0, 5, 5, 0, -5, ...

A. 0 B. 5 C. 10 D. -5

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Use the rules for exponents to rewrite the expression and then evaluate the new expression. (2-2)0 

A. 1
B.
C. 0
D. -4 

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