Questions from General Calculus


Q: The volume (V) of a certain amount of a gas

The volume (V) of a certain amount of a gas is determined by the temperature (T) and the pressure (P) by the formula V = .08(T/P). Calculate and interpret ∂V/∂P and ∂V/∂T when P = 20, T = 300.

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = 3√(sin π t)

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = cos2 x3

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = cos2 x + sin2 x

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = ex sin x

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = (cos x + sin x)2

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = sin 2x cos 3x

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = (1 + x) /cos x

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = sin t / cos t

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Q: Differentiate (with respect to t or x): y =

Differentiate (with respect to t or x): y = cos (e2x+3)

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