Search & Filtering
1, Given Ln(x) - x^2 + 2x = 0 . Solve the equation for the smallest root, using
a) Bisection Method correct up to at least 2 decimal places i.e e = 0.5 x 10^-2
b) False Position Method correct up to at least 2 decimal placesi.e e = 0.5 x 10^-2
c) Compare the two methods according to the number of iterations performed.
2. Construct the convergent fixed point iteration to find the lowest root of the
following equation with an accuracy e = 10^-2.
In(x) — x^2 +7x-8=0
3. Given. e^x +2/3x -2=0
a) Separate the roots using analytical method.
b) Approximate the largest root of the above equation with an accuracy of e < 0.01
using
i) Fixed pointiteration
ii) Newton’s Method
4. Estimate *3 using Secant method with an accuracy e < 0.001
( “^” this sign means power of and “*” this sign means root of )
In a science test, the mean score is 42 and the standard deviation is 5. Assuming the scores are normally distributed, what percent of the score is greater than 47
Calculate the circumference of a circle with a diameter of 1.2mm
In a company having 180 employees, 60 earn $10.00 per hour and 120 earn $12.00 per hour. 30 employees each earns $12.00 leave the work. Determine the mean earnings per hour.
in a math test,the mean is 45,and the standard deviation is 4.Assuming normality,what is the probability that a score picked at random will lie above score is 50
Determine the set of interior points, exterior points,
accumulation points, isolated points, and boundary
points of the set E = {x : x
2 ≥ 2}.
25/x<10
X/2 + x/3 >17/6
3x-29<7x+11
Determine the set of interior points, exterior points,
accumulation points, isolated points, and boundary
points of the set E = {x : x
2 ≥ 2}.
