Use a trapezoidal sum with four subintervals to approximate
Use your approximation from part (a) to estimate the value of
. Justify your estimate with your work.
Use Euler’s Method, starting with
, with four steps of equal size, to approximate . Show your work.
, the slope is . Since the step size is , then
, the next point is:
and , write a third-degree Taylor polynomial about and use it to approximate .
How close were your estimates of
in parts (b) through (d)? Explain why this happened.