1
Q
To check if x0 gives a good second approximation using Newton-Raphson, what do you do on the diagram ?
A
Start at x0 on the x-axis, go up to the curve y=f(x), draw the tangent at that point, and see where it hits the x-axis — if it lands close to the actual root, it’s a good approximation.
2
Q
For graphical iteration, what do we hit first
A
Draw Y=x
Start at X0
Go up to curve then horizontally to line and repeat
Vertical move → curve
Horizontal move → line
Repeat
(Can then move up or down left or right to hit curve and line respectively)
3
Q
If there is alpha is 0.889 to 3dp, what is the interval we check
A
[0.8885,0.8895]
Both 5 up and down at the end
