Let .

(a) Find the tangent line approximation, , at .

=

(b) Use the tangent line to approximate the value of

(Use at least 2 decimal places)

(c) Find the error function, , for the given approximation.

=

(d) Calculate the error in the tangent line approximation at . In other words, find .

= (Keep at least five digits after the decimal point.)

Hint: