Questions from General Calculus

Q: The curves defined by the parametric equations / are called

The curves defined by the parametric equations are called strophoids (from a Greek word meaning “to turn or twist”). Investigate how these curves vary as c varies....

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: Find the foci and vertices and sketch the graph. /

Find the foci and vertices and sketch the graph.

Q: Find the foci and vertices and sketch the graph. /

Find the foci and vertices and sketch the graph.

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: Evaluate the integral. /

Evaluate the integral.

Q: Find the foci and vertices and sketch the graph. /

Find the foci and vertices and sketch the graph.

Q: Find an equation of the ellipse with foci (±4, 0

Find an equation of the ellipse with foci (±4, 0) and vertices (±5, 0).

Q: Find the Taylor polynomial T3(x) for the function f

Find the Taylor polynomial T3(x) for the function f centered at the number a. Graph f and T3 on the same screen.

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.