MatLAB Answers

Find the root of the following equation using the Newton-Raphson method. Choose the initial guess as x(0) = 10. Choose the error tolerance as tol=1e-6. In other words, the iterations should be stopped when the error

|x(1) − x(i-¹)| ≤ tol.

x^2.5 23x^1.5 - 50x + 1150 = 0

Find the root of the following equation using the Newton-Raphson method. Choose the initial guess as 𝑥 (0) = 10. Choose the error tolerance as tol=1e-6. In other words, the iterations should be stopped when the error i. Please report the value of x after 2 iterations ii. Please report the converged solution, where error is less than 1e-6. iii. Please report the number of iterations required to reach this converged solution

Find the root of the following equation using the Newton-Raphson method. Choose the

initial guess as 𝑥

(0) = 10. Choose the error tolerance as tol=1e-6. In other words, the

iterations should be stopped when the error

i. Please report the value of x after 2 iterations

ii. Please report the converged solution, where error is less than 1e-6.

iii. Please report the number of iterations required to reach this converged solution

Write a MATLAB program to solve the following two-point boundary

value problem for

d^2theta/dt^2 = -theta(t); 0 < t < 2theta; theta(0) = 0.7; theta(2pie) = 0.7:

Find the solution of the given equation using the Trapezoidal rule:

int(5, - 2) sqrt(x^2+1)

Take the number of intervals to be 10.

Find the root of the following equation using the Newton-Raphson method. Choose the

initial guess as 𝑥

(0) = 10. Choose the error tolerance as tol=1e-6. In other words, the

iterations should be stopped when the error.

|x^(i) - x^(i-1)|<= tol.

x^2.5 - 23x^1.5 - 50x +1150 = 0

i. Please report the value of x after 2 iterations

ii. Please report the converged solution, where error is less than 1e-6.

iii. Please report the number of iterations required to reach this converged solution.

write a matlabe code for Perform two iterations to solve the following one dimensional heat equation using FTCS and Crank−Nicolson scheme, with ∆x = 1 4 . ∂u ∂t = ∂ 2u ∂x2 , 0 < x < 2, t > 0. u(0, t) = 0, ux(2, t) = 1, t ≥ 0 and u(x, 0) = x, 0 ≤ x ≤ 2.

The half-life of radium is 1600 years, i.e., it takes 1600 years for half of any quantity to decay. If a sample initially contains 50 g, how long will it be until it contains 45 g by power series method?Write a Matlab code for the above problem

315 people have to be transported using buses that have 37 seats. By typing

one line (command) in the Command Window, calculate how many seats will

remain empty if enough buses will be ordered to transport all the people.

(Hint: use MATLAB built-in function ceil.)

given a cylindrical piggy bank with radius g and height y, return the bank's volume