Questions from General Calculus

Q: Calculate, to four decimal places, the first ten terms of

Calculate, to four decimal places, the first ten terms of the sequence and use them to plot the graph of the sequence by hand. Does the sequence appear to have a limit? If so, calculate it. If not, ex...

Q: Determine whether the series is convergent or divergent. If it is

Determine whether the series is convergent or divergent. If it is convergent, find its sum.

Q: Evaluate the integral. /

Evaluate the integral.

Q: Express the number as a ratio of integers. /

Express the number as a ratio of integers.

Q: Use multiplication or division of power series to find the first three

Use multiplication or division of power series to find the first three nonzero terms in the Maclaurin series for each function.

Q: Sketch the parametric curve and eliminate the parameter to find the Cartesian

Sketch the parametric curve and eliminate the parameter to find the Cartesian equation of the curve.

Q: Find the length of the curve. /

Find the length of the curve.

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

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

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

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

Q: Use the method of cylindrical shells to find the volume generated by

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the curves about the given axis.