Q1\calculate x1, x2, xn from the following equations: -3x1 + 9x2 + xn = 2 5x1 - 2x2 + 3x,n = -1 2x1 - x2 - 7x = 3 with 4 decimal places and 6 iterations by using Gauss - Seidel Method?
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- A B C D X1 a1 b1 c3 L X2 a2 b1 c1 L X3 a2 b2 c1 H X4 a2 b2 c2 H X5 a2 b1 c1 L X6 a2 b2 c1 H X7 a2 b1 c2 H X8 a1 b2 c2 L Using the table above, calculate the following, there measures (1) Kulczynski, (2) Lift, and (3) Cosine. a) A1 ==> L b) A2, B2 ==> H c) A2, C2 ==> HWhat is the value of x in the following system of equations: -x + 8 = -y2x – 2 = -5y x= 1 x= 2 x= 3 x= 4 x= 61. Show that xy' + yz' + x'z = x'y + y'z + xz'
- Q4:) Given that y(x) =x* - x>+ 8x + 10 1:-Use polynomial form to find y and its derivative for x = =312, L1, 2:- Use symbolic expression to find y and its derivative for x = matlapWhich among the following is an example of quadratic function? 2 + (10 * X) (3+4) *(4*X) 24 + (56 × X2) (5.3 × X2) + ( 21.6 × X3)Determine the value of each of the following expressions. (For decimal numbers, round your answer to two decimal places.) (1) abs(-18) fabs(20.5) fabs(-87.2) pow(4, 2.0) pow(8.4, 3.5) sqrt(7.84) sqrt (196.0) sqrt (38.44)* pow(2.4, 2) / fabs(-3.2) floor(27.37) ceil(19.2) floor(12.45) + ceil(6.7) floor (-8.9) + ceil (3.45) floor(9.6) / ceil(3.7) pow(-4.0, 6.0) pow(10, -2.0) pow(9.2, 1.0 / 2)
- Two trigonometric identities are given by: (sin x + cos x)2 = 1+ 2 sin x cos x 1- 2 cos x - 3cos2 x = 1- 3cos x sin2 x 1- cos x For each part, verify that the identity is correct by calculating the values of the left and right sides of the equation using MATLAT, substituting x=200 Find the solution to the systems + = ... .. . y + 3 y + 2 y y u Where y (0) =0; y’ (0) =0. u (t) is a square wave.Compute the following values: d) P(5,5) e) P(6,0)f) P(100,2)Two points on line 1 are given as (x1, y1) and (x2,y2) and on line 2 as (x3, y3) and (x4, y4), as shown in Figure 3.8a and b.The intersecting point of the two lines can be found by solving the following linearequations:(y1 - y2)x - (x1 - x2)y = (y1 - y2)x1 - (x1 - x2)y1(y3 - y4)x - (x3 - x4)y = (y3 - y4)x3 - (x3 - x4)y3This linear equation can be solved using Cramer’s rule . If the equation has no solutions, the two lines are parallel (see Figure). Write a program that prompts the user to enter four points and displays the intersectingpoint. Here are sample runs:
- % Define the function f(x) f = @(x) -1*(x < 0) + 1*(x >= 0 & x <= 2); % Set the maximum value of N Nmax = 512; % Initialize the x-axis values for plotting x = linspace(-1,3,1000); % Compute the Fejér sums for various values of N F = zeros(length(x), Nmax); for N = 1:Nmax % Compute the Nth Fejér sum Sn = @(x) 0; for n = 1:N bn = (-1)^(n+1) / (n*pi); Sn = @(x) Sn(x) + bn*sin(n*pi*x); end FN = @(x) (1/N) * Sn(x); % Evaluate the Fejér sum at each point on the x-axis I tried to submit this to MATLAB, but can't seem to get it right.PLEASE USE PYTHON METHOD The function y(x) represented by the data below has a maximum at x = 0.7692. Compute this maximum by Nevilles interpolation over four nearest neighbor data points. x = 0, 0.5, 1, 1.5, 2, 2.5, 3 y = 1.8421, 2.4694, 2.4921, 1.9047, 0.8509, -0.4112, -1.5727Given f(x)=x2+6x and g(x)=1−x2, find f+g, f−g, fg, and fg. Enclose numerators and denominators in parentheses. For example, (a−b)/(1+n).