Questions from General Calculus

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 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.

Q: Find the slope of the tangent line to the given curve at

Find the slope of the tangent line to the given curve at the point corresponding to the specified value of the parameter.

Q: Populations of birds and insects are modeled by the equations /

Populations of birds and insects are modeled by the equations (a) Which of the variables, x or y, represents the bird population and which represents the insect population? Explain. (b) Find the equil...

Q: Find the slope of the tangent line to the given curve at

Find the slope of the tangent line to the given curve at the point corresponding to the specified value of the parameter.

Q: Find dy/dx and d2y/dx2. x =

Find dy/dx and d2y/dx2. x = t + sint. y = t – cos t

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: Find dy/dx and d2y/dx2. x =

Find dy/dx and d2y/dx2. x = 1 + t2, y = t – t3

Q: Find the volume obtained by rotating the region bounded by the curves

Find the volume obtained by rotating the region bounded by the curves about the given axis.