Chapter 24 - Numerical Methods (Pure)

Question 1

what does a cobweb and staircase diagram look like? what does it do?

Answer 1

a cobweb diagram is a way of finding the root

Question 2

whats the newton’s-raphson method?

Answer 2

the newton raphson method uses the equation to find the root.

Question 3

what’s the trapzium rule?

Answer 3

n is the number of strips (number of trapeziums)
h is the width of the strips
th x values go up in steps of h starting with x0=a
the area of a trapezium is A= h/2 (yr + (yr+1))
so its finding the area of all the trapeziums