Exam 9: Section 7: Infinite Series

Find the Maclaurin polynomial of degree 5 for the function.

Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.008. Round your answer to four decimal places.

Find a first-degree polynomial function P₁ whose value and slope agree with the value and slope of f at . What is P₁ called?

Find the Maclaurin polynomial of degree 4 for the function.

What is a first-degree polynomial function whose value and slope agree with the value and slope of at ?

Find a first-degree polynomial function P₁ whose value and slope agree with the value and slope of f at . What is P₁ called?

Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function to be less than 0.001.

Find the fourth degree Taylor polynomial centered at for the function.

Find the fourth degree Maclaurin polynomial for the function.

Find the Maclaurin polynomial of degree two for the function .

Consider the function and its second-degree polynomial at Compute the value of and Round your answer to four decimal places.

Find the Maclaurin polynomial of degree 3 for the function.

The fourth Taylor polynomial for , expanded about is . Use this polynomial to approximate the value of . Round your answer to four decimal places.

Find the third Taylor polynomial for expanded about .

Find the third degree Taylor polynomial centered at for the function.

Find the Maclaurin polynomial of degree 4 for the function.

Use a graphing utility to graph and P₁, a first-degree polynomial function whose value and slope agree with the value and slope of f at .

Find a first-degree polynomial function P₁ whose value and slope agree with the value and slope of at .