Questions from General Calculus


Q: Find a polar equation for the curve represented by the given Cartesian

Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 2cx

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

Plot the point whose polar coordinates are given. Then find two other pairs of polar coordinates of this point, one with r > 0 and one with r

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Q: Find a polar equation for the curve represented by the given Cartesian

Find a polar equation for the curve represented by the given Cartesian equation. xy = 4

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Q: For each of the described curves, decide if the curve would

For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve. (a). A line through the origin that...

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Q: For each of the described curves, decide if the curve would

For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve. (a). A circle with radius 5 and cent...

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

Sketch the curve with the given polar equation. θ = -π/6

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Q: Sketch the curve with the given polar equation. r2 –

Sketch the curve with the given polar equation. r2 – 3r + 2 = 0

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

Sketch the curve with the given polar equation. r = sin θ

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Q: Use a graphing device to graph the polar curve. Choose the

Use a graphing device to graph the polar curve. Choose the parameter interval carefully to make sure that you produce an appropriate curve.

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

Sketch the curve with the given polar equation. r = θ, θ > 0

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