Questions from General Calculus

Q: Evaluate the integral. /

Evaluate the integral.

Q: Evaluate the integral. /

Evaluate the integral.

Q: Use series to evaluate the limit. /

Use series to evaluate the limit.

Q: Determine whether the sequence converges or diverges. If it converges,

Determine whether the sequence converges or diverges. If it converges, find the limit.

Q: Use Exercise 52 to find / Data from Exercise

Use Exercise 52 to find Data from Exercise 52: Use integration by parts to prove the reduction formula.

Q: Evaluate the integral. /

Evaluate the integral.

Q: Four bugs are placed at the four corners of a square with

Four bugs are placed at the four corners of a square with side length a. The bugs crawl counterclockwise at the same speed and each bug crawls directly toward the next bug at all times. They approach...

Q: Evaluate the integral. /

Evaluate the integral.

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: (a) A direction field for the differential equation y’ =

(a) A direction field for the differential equation y’ = x2 – y2 is shown. Sketch the solution of the initial-value problem Use your graph to estimate the value of...