To Be Done Only in MatLab
Please use the format provided:
MATLAB Code:
close all
clear
clc
syms x
f = x*exp(-x);
F = int(f, 0, 2);
g = (x^2 + 1)*sin(x);
G = int(g);
fplot(G), title('G(x)')
figure, fplot(g), title('g(x)')
Plots:
To Be Done Only in MatLab Please use the format provided: Symbolic integration in Matlab can be done Syms x int(f) For...
To Be Done Only in MatLab Please use the format provided: Integrals can be computed numerically using the Reimann sum definition. ゞrxldr ~-ofu.h where h = 부 when N is large, x, is the discretized points between a and b. For example the integral of f(x)2 for 03x3 2 is done by N-100; a-0 b 2; h -(b-a)/N; x-a:h:b; sum(f*h); F = The resulting value is 2.7068, compared to the exact solution 2.6667. Use the above technique to compute the...
To Be Done Only in MatLab Please use the format provided: The derivative can be computed numerically using the definition of the differentiation. with a small For example, derivative of f(x) = x, for () 1 with h = 0.01 is given by x x= 0:0.01 :1; Note that, diff(x), for a vector X, is [X(2)-X(1) X(3-X(2) Xn)-Xn1) So diff gives you one fewer points 2 for-2 IS 2 with h-0.01 . Then plot f(x) and g(x)-rx) Use the above...
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Using MATLAB, please solve questions 5 and 6. 5. Basic integration TV2 Show that tan 1 = (sin? x dx = SV1- x? dx. 0 6. Integration with simple probability application The results x of a certain biological test are found to be normally distributed, with an average value u of 800 and a standard deviation o of 100. We can define zo = (x – u)/o as a measure of the number of standard deviations from the mean that...
write MATLAB scripts to solve differential equations. Computing 1: ELE1053 Project 3E:Solving Differential Equations Project Principle Objective: Write MATLAB scripts to solve differential equations. Implementation: MatLab is an ideal environment for solving differential equations. Differential equations are a vital tool used by engineers to model, study and make predictions about the behavior of complex systems. It not only allows you to solve complex equations and systems of equations it also allows you to easily present the solutions in graphical form....
Need help what is the answers Finding Unknown Constants Given Boundary Conditions My Solutions Recall that when we find the antiderivative of a function, we include a C at the end of the answer since this will not change the derivative of the answer (the derivative of any constant is zero). Often, we are given a second derivative with specific boundary conditions which allow us to find the unknown constants by substituting the values for x and y into the...
1. Numerical Integration The integral of a function f(x) for a s x S b can be interpreted as the area between the f(x) curve and the x axis, bounded by the limits x- a and x b. If we denote this area by A, then we can write A as A-f(x)dx A sophisticated method to find the area under a curve is to split the area into trapezoidal elements. Each trapezoid is called a panel. 1.2 0.2 1.2 13...
Please answer "b" only. %Example code function plotFS(m); %m = user provided number of terms desired in the Fourier series; %this code computes the Fourier series of the function %f(x)=0, for -pi<= x <0, % =cos(x) for 0<= x <pi %generate the interval from -pi to pi with step size h; h = pi/100; xx1=[-pi:h:0]; xx2=[0:h:pi]; xx = [xx1, xx2]; %generate the given function f so that it can be graphed ff = [zeros(size(xx1)), cos(xx2)]; %compute the first partial sum...
i BOX Number- " Parts reference Text CommentsHeader&Footer Links MATLAB Lab 8 This exercise was done previously for a full circle. Perform all the steps shown including the plot, but only for the function shown in part b). Objective: In calculus, integration allows us to find the area under a curve. Numerical methods exist which enable us to approximate the area An interesting approach is to randomly select points in an x-y plane and find the fraction of those points...
Problem 1. Consider the function f(x)- 3.12 show that f is Riemann integrable on [0.2] and use the definition to find .后f(x)dr Problem 2. Consider the function -2, zEQ 2, O f(r) = Show that f is not Riemann integrable on 0,1 but s Reemann integrable on this interval. Problem 3. (a) Let f be a real-valued function on a, b] such thatf()0 for all c, where c E [a, b Prove that f is Riemann integrable on a, b...