Questions from General Calculus


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

Sketch the curve with the given polar equation. r = 2 cos (3θ/2)

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Q: Plot the point whose polar coordinates are given. Then find the

Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point.

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Q: Sketch the curve with the given polar equation. r2θ =

Sketch the curve with the given polar equation. r2θ = 1

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Q: The Cartesian coordinates of a point are given. (i

The Cartesian coordinates of a point are given. (i). Find polar coordinates (r, θ) of the point, where r > 0 and r (ii). Find polar coordinates (r, θ) of the point, where...

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Q: The Cartesian coordinates of a point are given. (i

The Cartesian coordinates of a point are given. (i). Find polar coordinates (r, θ) of the point, where r > 0 and r (ii). Find polar coordinates (r, θ) of the point, where...

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Q: Sketch the region in the plane consisting of points whose polar coordinates

Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions.

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Q: Sketch the region in the plane consisting of points whose polar coordinates

Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions.

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Q: Sketch the region in the plane consisting of points whose polar coordinates

Sketch the region in the plane consisting of points whose polar coordinates satisfy the given conditions.

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Q: The graph of f is shown. /

The graph of f is shown. (a). Explain why the series is not the Taylor series of f centered at 1. (b). Explain why the series is not the Taylor series of f centered at 2.

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Q: Find a power series representation for the function and determine the interval

Find a power series representation for the function and determine the interval of convergence.

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