Questions from General Calculus


Q: Find the distance traveled by a particle with position (x,

Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. Compare with the length of the curve.

See Answer

Q: Find the distance traveled by a particle with position (x,

Find the distance traveled by a particle with position (x, y) as t varies in the given time interval. Compare with the length of the curve.

See Answer

Q: (a) Graph the epitrochoid with equations / What

(a) Graph the epitrochoid with equations What parameter interval gives the complete curve? (b) Use your CAS to find the approximate length of this curve.

See Answer

Q: A curve called Cornu’s spiral is defined by the parametric equations

A curve called Cornu’s spiral is defined by the parametric equations where C and S are the Fresnel functions that were introduced in Chapter 5. (a) Graph this curve. What happens as...

See Answer

Q: Set up an integral that represents the area of the surface obtained

Set up an integral that represents the area of the surface obtained by rotating the given curve about the x-axis. Then use your calculator to find the surface area correct to four decimal places.

See Answer

Q: Find the radius of convergence and interval of convergence of the series

Find the radius of convergence and interval of convergence of the series.

See Answer

Q: Set up an integral that represents the area of the surface obtained

Set up an integral that represents the area of the surface obtained by rotating the given curve about the x-axis. Then use your calculator to find the surface area correct to four decimal places.

See Answer

Q: Set up an integral that represents the area of the surface obtained

Set up an integral that represents the area of the surface obtained by rotating the given curve about the x-axis. Then use your calculator to find the surface area correct to four decimal places.

See Answer

Q: Set up an integral that represents the area of the surface obtained

Set up an integral that represents the area of the surface obtained by rotating the given curve about the x-axis. Then use your calculator to find the surface area correct to four decimal places.

See Answer

Q: Find the exact area of the surface obtained by rotating the given

Find the exact area of the surface obtained by rotating the given curve about the x-axis.

See Answer