The figure below shows the graph of a function y = f(x). Use this graph to solve the problem.Sketch the graph of y = -f(x). 

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Answer: C

Mathematics

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What part of the object or set of objects is shaded?

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Find the exact value of the expression.sin 20° cos 40° + cos 20° sin 40°

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Find the Taylor series for the given function.f(x) = x8 ex

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Mathematics

Use the simplex method to solve the linear programming problem.Maximizez = x1 + 3x2 + x3 + 2x4subject to:2x1 + x2 + 5x3 + 6x4 ? 25 5x1 + 3x2 + 4x3 + x4 ? 60withx1 ? 0, x2 ? 0, x3 ? 0, x4 ? 0

A. Maximum is 50 when x1 = 0, x2 = 0, x3 = 0, x4 = 25 B. Maximum is 60 when x1 = 0, x2 = 20, x3 = 0, x4 = 0 C. Maximum is 75 when x1 = 0, x2 = 25, x3 = 0, x4 = 0 D. Maximum is 36 when x1 = 0, x2 = 10, x3 = 0, x4 = 3

Mathematics