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Q3 ) Use numerical integration with n=3 to determine the following integration then solve it analytically using a proper method of integration and compare results. Inx dx
Q3 ) Use numerical integration with n-3 to determine the following integration then solve it analytically using a proper method of integration and compare results. InLX dx 04) Used double integral find the area between the following curves y = x2y = 2 - x (5) Use shell method find the volume of the solid generated by revolving the curves y=x", y = 2 - x?, about y axis
Please I need help in solving numerical differentiation, numerical integration and finding the extrema, Using PYTHON. Question: Given a function
Written Essay on Module 4: Applications of Integration & Numerical Integration, Due May 2 5. (10 points) For both graphs below, use (i) Trapezoidal Rule, and (ii) Simpson's Rule with a sub- division into n = 4 subintervals to estimate the area under the given curves on the interval (1,5). (iii) In each case, determine which rule is more accurate. Explain why. (a) y = f(x) (b) y = g(x)
A- Using a numerical integration method of your choice with n ≥ 70, determine the length of the curve, f(x) = -e^x over the interval [4, 8] B- Redo question A, using an entirely different numerical integration method. show all the work please
Help PLEASE! Project. Approximating In 2 and π by numerical integration. 1. In Calculus 1 you learned that the natural logarithm of the number 2 is the value of the integral da The value of In 2 correct to 15 decimal places is In2 0.693147180559945 Use the error formula for the Composite Simpson's rule to determine how many correct decimal places you can obtain when you partition [1,2] into 4, n 8, and12 equal-length subintervals. 2. In Calculus you learned...
Question 3 (Numerical integration, efficient schemes) The length L of the main supporting cable of a suspension bridge can be calculated by: 4h2 1/2 ral (1 +- L = -x²) dx Joq44 Where a is half the length of the bridge And h is the distance from the deck to the top of the tower where the cable is attached. Determine the length of a bridge with a=80 m and h=18m. Determine the cable length (with associated error of estimate)...
MATLAB Write an m-file capable of performing numerical integration for the equation using the simpsons and trapezoidal functions: function [value, error] = simpsons(func, a, b, n, I) %retuns the value and error ret = 0; h = (b-a)/(n+1); %step size pts = a:h:b; % array of points for i=2:(n+3)/2 a = 2*i-3; b = 2*i-2; c = 2*i-1; ret = ret + (func(pts(a)) + 4*func(pts(b)) + func(pts(c))); end value = h*ret/3; error = abs(I - value)*100/I; %error between value and...
Question 3 Given the function () x2 +05 find the numerical integration from a -1.5 to b1.4 using multiple applications of the rectangle rule with n. 3.
i need the coding in matlab 1) Numerical Integration There are many simply written functions which have no simple closed form antiderivative. These functions must, when they arise in physical problems, be integrated numerically. One such function is f(x) = sin(x) a) Find S f(x)dx using the trapezoid rule and 2 sub-intervals b) Repeat part a) with 10 sub-intervals c) Find S, f(x)dx using Simpson's rule and 2 sub-intervals d) Repeat part c) with 10 sub-intervals e) Find S, f(x)dx...