MatLAB Answers

Make an octave code to find the root of cos(x) – x * e x = 0 by using bisection method. The answer should be corrected up to four decimal places.

You are designing a spherical tank, as shown in figure below, to hold water for a sonll village in

a developing country. The volume of liquid it can hold can be compuned as

V=pi*h2*

(3R-h)/3

where V is the volume of water in the tank in m3, b is the height of water in the tank in m, R is

the radius of tank in m. If R is 3m and V is 30 m.

Formulate the equation in terms of height (h), from above generalized equation, representing the

present situation

Use the correct built-in function in MATLAB to determine all possible values of height (h) that

will satisfy the formulated equation i.e. determine all possible roots of the formulated equation.

From those values height (h) which one is the correct and why?

11. The battery life of a certain battery is normally distributed with a mean of 90 days and a standard deviation of 3 days.

For each of the following questions, construct a normal distribution curve and provide the answer.

a)    About what percent of the products last between 87 and 93 days?

b)    About what percent of the products last 84 or less days?

For each of the following questions, use the standard normal table and provide the answer.

c) About what percent of the products last between 89 and 94 days?

d) About what percent of the products last 95 or more days? 

Write a MatLab program to find the value of ×, y and z using Gauss-Elimination method in

the following equations

2x+4y + 2 - 3;

3x+2y - 2z= -2;

x-y+z=6.

Write a MatLab program to solve the following system of equation using Gauss-Seidel

methad:

54x+y+2=110；2x+ 15y+6z=72;=x+6y+272=85