Questions from General Calculus

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.

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.

Q: Identify the curve by finding a Cartesian equation for the curve.

Identify the curve by finding a Cartesian equation for the curve.

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.

Q: Use a computer algebra system to find the Taylor polynomials Tn centered

Use a computer algebra system to find the Taylor polynomials Tn centered at a for n = 2, 3, 4, 5. Then graph these polynomials and f on the same screen.

Q: Use any test to determine whether the series is absolutely convergent,

Use any test to determine whether the series is absolutely convergent, conditionally convergent, or divergent.

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.

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.

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 cente...

Q: Test the series for convergence or divergence. /

Test the series for convergence or divergence.