Questions from General Calculus


Q: If u (x) = f (x) + ig

If u (x) = f (x) + ig (x) is a complex-valued function of a real variable x and the real and imaginary parts f (x) and g (x) are differentiable functions of x, then the derivative of u is defined to b...

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Q: Find the area of the region that lies inside both curves.

Find the area of the region that lies inside both curves.

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Q: Find the area of the region that lies inside both curves.

Find the area of the region that lies inside both curves.

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Q: Find the area of the region that lies inside both curves.

Find the area of the region that lies inside both curves.

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Q: Sketch the curve with the given polar equation. r =

Sketch the curve with the given polar equation. r = -3 cos θ

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Q: Evaluate the integral. f x – 9/(x +

Evaluate the integral. f x – 9/(x + 5) (x – 2), dx

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Q: Sketch the curve with the given polar equation. r =

Sketch the curve with the given polar equation. r = 2 (1- sin θ), θ > 0

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Q: Sketch the curve with the given polar equation. r =

Sketch the curve with the given polar equation. r = 1 – 3 cos θ

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Q: Find all points of intersection of the given curves. r

Find all points of intersection of the given curves. r = 2 sin 2θ, r = 1

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Q: Find all points of intersection of the given curves. r

Find all points of intersection of the given curves. r = cos 3θ, r = 3θ

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