4.1 Ex 1c [3pts] 4.1 Ex 8b [3 pts] Do entirely by hand. 4.1 Ex 9b [3 pts] For this one, use Matlab to solve the normal equations. 4.2 Ex 1a. [3 pts] Also explain why the trigonometric functions used here are called "orthogonal" and what the benefits are of choosing such a "basis set". [2 pts] 4.3 Ex 4b [6 pts]
HW 8
13.TBD
5.1 X1. [8 pts] Using the methods we developed while studying Ch 0, compute a round-off error bound for the one-sided difference quotient (f(x+h)-f(x))/h. (Absolute error, not relative.) Using the truncation error formula given in class and the textbook, find the optimal value of h. 5.1 X2. [6 pts] Find a linear combination of f(x), f(x+h), f(x+2h) that is an approximation to f'(x) whose error is O(h2). 5.1 X4. [5 pts] Show by hand all the steps of the use of our simple differentiation arithmetic to evaluate the derivative of (x-3)2/(3x-7) at x=5.