Questions from General Calculus

Q: Use a calculator to find the length of the curve correct to

Use a calculator to find the length of the curve correct to four decimal places. If necessary, graph the curve to determine the parameter interval.

Q: (a) Find a formula for the area of the surface

(a) Find a formula for the area of the surface generated by rotating the polar curve / / about the line / (b) Find the surface area generated by rotating the lemniscate

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

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.

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.

Q: Test the series for convergence or divergence. /

Test the series for convergence or divergence.

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: 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.