Questions from General Calculus

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. x2 + y2 = 2

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: Determine whether the series is conditionally convergent, absolutely convergent, or

Determine whether the series is conditionally convergent, absolutely convergent, or divergent.

Q: Evaluate the integral. /

Evaluate the integral.

Q: Evaluate the integral. /

Evaluate the integral.

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: In Section 4.8 we considered Newton’s method for approximating a

In Section 4.8 we considered Newton’s method for approximating a root r of the equation f(x) = 0, and from an initial approximation x1 we obtained successive approximations x2, x3, ....

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: Express the number as a ratio of integers. /

Express the number as a ratio of integers.

Q: Find the sum of the series. /

Find the sum of the series.