Solve the problem.For x > 0, sketch a curve y = f(x) that has f(1) = 0 and f '(x) = - . Can anything be said about the concavity of such a curve? Give reasons for your answer. 

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Since f "(x) =  > 0 for all x > 0, then the function is everywhere concave up.

Mathematics

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Find the first few nonzero terms of the Maclaurin series for the given function.f(x) = sin x cos x

A. x + x3 - x5 + x7 + . . .
B. x - x3 + x5 - x7 + . . .
C. x - x3 + x5 - x7+ . . .
D. 1 + x - x2 - x3 + . . .

Mathematics

Provide an appropriate response.Explain what happens when you round $0.0249 to the nearest hundredths place.

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Mathematics

If tan?<0 and sin?<0, in what quadrant does ? lie?

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Mathematics

Provide an appropriate response.On the given graph of y = cot x, sketch the graph of y = cot-1 x as defined in the text. Give the domain and the range.

What will be an ideal response?

Mathematics