Questions from General Calculus

Q: Determine whether the series converges or diverges. /

Determine whether the series converges or diverges.

Q: Solve the initial-value problem. /

Solve the initial-value problem.

Q: Evaluate the integral. /

Evaluate the integral.

Q: Use a graph to find approximate x coordinates of the points of

Use a graph to find approximate x coordinates of the points of intersection of the given curves. Then find (approximately) the area of the region bounded by the curves.

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

Express the number as a ratio of integers.

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 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: The von Bertalanffy growth model is used to predict the length L

The von Bertalanffy growth model is used to predict the length L(t) of a fish over a period of time. If L is the largest length for a species, then the hypothesis is that the rate of growth in length...

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: A tank contains 100 L of pure water. Brine that contains

A tank contains 100 L of pure water. Brine that contains 0.1 kg of salt per liter enters the tank at a rate of 10 L/min. The solution is kept thoroughly mixed and drains from the tank at the same rate...