Questions from General Calculus


Q: Evaluate the following integrals. ∫ 1 / cos2 x dx

Evaluate the following integrals. ∫ 1 / cos2 x dx

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Q: Evaluate the following integrals. ∫3 / cos2 (2x

Evaluate the following integrals. ∫3 / cos2 (2x) dx

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Q: If 0 < t < π/2, use Fig.

If 0 < t < π/2, use Fig. 3 to describe sec t as a ratio of the lengths of the sides of a right triangle.

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Q: Describe cot t for 0 < t < π/2 as

Describe cot t for 0 < t < π/2 as a ratio of the lengths of the sides of a right triangle.

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Q: Define sin t, cos t, and tan t for an

Define sin t, cos t, and tan t for an angle of measure t for any t.

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Q: What does it mean when we say that the sine and cosine

What does it mean when we say that the sine and cosine functions are periodic with period 2π?

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Q: Give verbal descriptions of the graphs of sin t and cos t

Give verbal descriptions of the graphs of sin t and cos t.

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Q: State as many identities involving the sine and cosine functions as you

State as many identities involving the sine and cosine functions as you can recall.

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Q: Find ∂f/∂x and ∂f/∂y for each

Find ∂f/∂x and ∂f/∂y for each of the following functions. f (x, y) = x ex2y2

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Q: Define cot t, sec t, and csc t for an

Define cot t, sec t, and csc t for an angle of measure t.

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