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In this question, you will need to find the general solution to the equation [i 25...
c. Now write the general solution in parametric form. x = X11 X2 X3 XA X5 = P + (vectors multiplied by free variables) (Fill in the particular vector p, then factor out any remaining free variables from your expression above.) (4 points) particular 1 X2 X3 II II X4 + X2 X5 + 0 0 LX6 0 X₂ X₂ X₃ X4 Xg X6 1 2 3 0 5 6 d. Write a vector equation equivalent to the reduced system:...
1. (20 points total) We will solve the following system of linear equations and express the problem and solution in various forms. 2x1 + 4x2 + x4 – 25 = 1 2.22 - 3.23 – 24 +2.25 = 1. (a) (2 point) How many free parameters are required to describe the solution set? (b) (5 points) Write the problem in the form of an augmented matrix and use Gauss-Jordan elimination to find the reduced echelon form of the matrix. (c)...
(1 point) Use the indicated change of variable to find the general solution of the differential equation on (0, oo): General solution for w: w -cjJ +2J General solution for y: y- ci NOTE REGARDING ANSWER ENTRY: To enter a Bessel function of the form Ja(bx), you should type a in the first blank and bz in the second blank. Subscripts should be listed in decreasing order, if applicable. (1 point) Use the indicated change of variable to find the...
Solve the age Round to two decimal places as needed) Round to one decimal place as needed) - Round to one decimal place is needed) Write the vector in the form al + b], given its magnitude Iv and the angle a it makes with the positive x-axis. IV = 18, a = 120° (Simplify your answer. Type an exact answer using radicals as needed. Type your answer in the form ai + bj.) Find the direction angle of v...
Need help with this MATLAB question 4.4 (25 points) Write and test the code for the function mysteryFunction that takes a vector, V, generate a new vector W, in which each element is the sum of the corresponding element in V and the previous element of V, and return two values (mysteryMean, mysteryStdev] of W. Consider the previous element of V(1) to be 0. For example, [mysteryMean, mysteryStdev] = mysteryFunction(1:8), W= [1 3 5 7 9 11 13 15] mysteryFunction...
Problem 3 (8 points) (a)Find the natural response and the COMPLEX forced response (2 points). (b) And then write the general REAL solution of the given differential equation (2 points). (c)Rewrite the forced response in POLAR form and sketch it on (y, t) AND on the PHASE (v, y) plane (3 points). (d) Sketch the solution of the INITIAL VALUE Problem y(0) 0, y (0) 0 using your sketches on both planes in part (c) (1 point) Use COMPLEX numbers!...
How to do question B 2,3,4,5? 3. a) Find the solution v ote ordinary diferetinl equation with the initial coditions: b) i) Recast our third ord ODE into a system af first order ODEs af the formA.v, where v' = dv/dz f(v) and v = (y, y,y")". You should show all working to find the corresponding matrix A. Do not solve the system. 4 mark Solve it only by hand and show your complete work. Do not use a calculator...
4. Consider the matrix 0- 3 1 -2 1 4 (a) Use Matlab to determine the reduced row echelon form of A (b) If v, V2, vs, v4 are the column vectors of the matrix A, use your result from (a) to obtain a basis for the subspace of W-linsv1, V2, V3, V4. Write the basis in the box below 4. Consider the matrix 0- 3 1 -2 1 4 (a) Use Matlab to determine the reduced row echelon form...
Complete the square to write the equation of the sphere in standard form. x2 + y2 + z2 + 5x - 2y + 8z + 22 = 0 Find the center and radius. center (x,y,z) = D. radius Need Help? Read It Talk to a Tutor Find the component form and magnitude of the vector v with the given initial and terminal points. Then find a unit vector in the direction of v. Initial point: (4, 7, 1) Terminal point:...