Questions from General Calculus

Q: Use the Ratio Test to determine whether the series is convergent or

Use the Ratio Test to determine whether the series is convergent or divergent.

Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

Q: If f is continuous, then /

If f is continuous, then /

Q: Find a formula for the area of the surface obtained by rotating

Find a formula for the area of the surface obtained by rotating C about the line y = mx + b.

Q: Find the values of x for which the series converges. Find

Find the values of x for which the series converges. Find the sum of the series for those values of x.

Q: Determine whether the statement is true or false. If it is

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

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: All solutions of the differential equation y’ = -1 – y4

All solutions of the differential equation y’ = -1 – y4 are decreasing functions.

Q: What does your result from Problem 1 say about the areas A1

What does your result from Problem 1 say about the areas A1 and A2 shown in the figure? Data from Problem 1: Suppose the cups have height h, cup A is formed by rotating the curve x = fs/d about the...

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

Determine whether the sequence is convergent or divergent. If it is convergent, find its limit.