Q1) Use the Bisection method to approximate . ( Find , and ) .
Q2) Let and , with ( k = 0.2 ) , and . If the fixed point iteration is used to solve g(x)=x .
Estimate the number of iteration required to achieve accuracy.
( )
Q3) Use Newton's method to find solution for .
( Let ( Find , and ) .
Q4) Let with and .
Use the Secant method to find and .

Q5) Given the sequence as in the table
n

1
2.980
2
3.012
3
3.085
4
3.112
5
3.1224

If the sequence generated from by the Aitken's method
Estimate .

c

step-by-step explanation:

b

step-by-step explanation:

i dont know

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.