- Use the procedure involving the
`solve`command to find the quadratic Taylor polynomial approximation to with base point . Plot your approximation on the same graph as . - Use the
`Taylor`command from the`CalcP`package to generate the quadratic Taylor polynomial approximation to the function from the first exercise. Use the same base point. Verify, graphically or otherwise, that the two quadratic polynomials are the same. You might find the Maple`expand`command useful. - Fill in the details of the proof of Theorem 1. That is, show that the formula in the theorem satisfies the conditions in Definition 1.
- Suppose you wanted to approximate the function
over the interval with an absolute
accuracy that is less than . That is, you want to choose a base
point
**a**in this interval such that the quadratic Taylor polynomial approximation to with that base point satisfies for . Find a base point**a**that works. Include a plot that demonstrates this.

Wed Jan 31 11:34:32 EST 1996