Description
In problems 1-3, just do the (d) matrix.
1. [10 pts] Problem 1 on page 224
2. [10 pts] Problem 3 on page 224
3. [10 pts] Use the two-point forward difference formula to approximate f
0
(1), where
f(x) = e
x + 0.5, for h = 0.1, h = 0.01, and h = 0.001. Compare these estimates to
the true value. Was this what one should expect, given the progression of values
of h? Explain.
4. [10 pts] Repeat problem 4 using the three-point centered difference formula. Please
also compare the results of the forward and centered difference calculations at each
h value—to each other and to the true value. Which one is better, for a given h?
Will that always be true?
1
