calculus 6a - 10a

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Calculus6a-10a.docx
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6.

Find fraction numerator d y over denominator d x end fractionif y equals tan to the power of negative 1 end exponent left parenthesis square root of x cubed right parenthesis end root.

7.

Find fraction numerator d y over denominator d x end fractionif y equals tan to the power of negative 1 end exponent left parenthesis square root of x cubed right parenthesis end root.

8.

If f left parenthesis x right parenthesis equals square root of 1 plus 8 x end root, find f space apostrophe left parenthesis a right parenthesisfor a equals 3and the equation of the tangent line to f left parenthesis x right parenthesisat x equals a.

9.

Find fraction numerator d over denominator d x end fraction open parentheses fraction numerator 1 plus sin squared x over denominator x plus tan cubed 15 x end fraction close parentheses.

10.

The volume of a right circular cylinder of radius x and height yis given by v equals πx squared straight y. Suppose that the volume of the cylinder is constant at 250 πcm cubed. Find fraction numerator d y over denominator d x end fractionwhen x equals 5and y equals 10.