Questions from General Calculus

Q: Use the Maclaurin series for sin x to compute si 30 correct

Use the Maclaurin series for sin x to compute si 30 correct to five decimal places.

Q: (a). Use the binomial series to expand 1/ √

(a). Use the binomial series to expand 1/ √1 - x2. (b). Use part (a) to find the Maclaurin series for sin-1 x.

Q: Find a power series representation for the function and determine the interval

Find a power series representation for the function and determine the interval of convergence.

Q: For the limit illustrate Definition 1 by finding values of that correspond

For the limit illustrate Definition 1 by finding values of that correspond to e = 0.5 and e = 0.1

Q: Find the area of the region enclosed by one loop of the

Find the area of the region enclosed by one loop of the curve.

Q: Evaluate the indefinite integral as an infinite series. f x

Evaluate the indefinite integral as an infinite series. f x cos (x3) dx

Q: Evaluate the indefinite integral as an infinite series. f ex

Evaluate the indefinite integral as an infinite series. f ex – 1/x, dx

Q: Evaluate the expression and write your answer in the form a +

Evaluate the expression and write your answer in the form a + bi.

Q: Evaluate the expression and write your answer in the form a +

Evaluate the expression and write your answer in the form a + bi.

Q: Evaluate the expression and write your answer in the form a +

Evaluate the expression and write your answer in the form a + bi.