Questions from General Calculus


Q: The angle of elevation from an observer to the top of a

The angle of elevation from an observer to the top of a church is .3 radian, while the angle of elevation from the observer to the top of the church spire is .4 radian. If the observer is 70 meters fr...

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Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = sec t

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Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = csc t

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Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = cot t

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Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = cot 3t

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Q: Compute ∂2f/∂y2, where f (x, y

Compute ∂2f/∂y2, where f (x, y) = 60 x3/4 y1/4, a production function (where y is units of capital). Explain why ∂2f/∂y2 is always negative.

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Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = tan 4t

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Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (t) = tan πt

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Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (x) = 3 tan (π - x)

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Q: Differentiate (with respect to t or x): f (

Differentiate (with respect to t or x): f (x) = 5 tan (2x + 1)

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