Numerical Methods

Question 1

Change of sign

Answer 1

Needs to be continuous

Question 2

Change of sign “which one is nearer”

Answer 2

Sub in half-way point and look at sign

Question 3

Change of sign faliures

Answer 3

More than 1 root in intersection
Assymtote (Not continuous)

Question 4

g(x) Iteration stairs

Answer 4

VERTICLE to curve
HORIZONTAL to line y=x
To find convergence of divergence

Question 5

Newton Raphson fails

Answer 5

Stationary point
Slow convergence
Divergence

Question 6

Newton Raphson Layout

Answer 6

Formula
X0 = (Starting value)
X1 =
X2 =

Question 7

Trampezium rule under or over estimate

Answer 7

Concave - overestimate
Convext - underestimate