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Do 3 and 4 please
Problem 3: Find the ZYZ Euler angle representation of the following...
Problem 5: Find the Roll-Pitch-Yaw angle representation of the following rotation matrix. If ther...
Problem 5: Find the Roll-Pitch-Yaw angle representation of the following rotation matrix. If there is infinite number of solutions, you only need to provide one set of solutions. If there are only two sets of solutions, you need to provide both sets 0 -0.866 -0.5 R-0 0.5 -0.866
Problem 5: Find the Roll-Pitch-Yaw angle representation of the following rotation matrix. If there is infinite number of solutions, you only need to provide one set of solutions. If there are only...
Problem: Given a rotation R of R3 about an arbitrary axis through a given angle find the matrix w...
Problem: Given a rotation R of R3 about an arbitrary axis through a given angle find the matrix which represents R with respect to standard coordinates. Here are the details: The axis of rotation is the line L, spanned and oriented by the vector v (1,一1,-1) . Now rotate R3 about L through the angle t = 4 π according to the Right 3 Hand Rule Solution strategy: If we choose a right handed ordered ONB B- (a, b,r) for...
answer please , Cauchy problem Exercise 4. Find all solutions of the following differential equation, after determin...
answer please , Cauchy problem
Exercise 4. Find all solutions of the following differential equation, after determining its domain sin y (-1) Moreover, find the solution to the Cauchy problem with initial data y(0) sketch its graph. Finally, study the behaviour of the function thus obtained at r determining its order of infinitesimal or infinite, if defined. 2 and 1
Exercise 4. Find all solutions of the following differential equation, after determining its domain sin y (-1) Moreover, find the...
3 Casimir effect We will derive the Casinir effect in three dimen- sions, making use of the Euler...
3 Casimir effect We will derive the Casinir effect in three dimen- sions, making use of the Euler-Maclaurin formula where θη _ 1 for n > 0,4,-1/2, and θη 0 for n <0. (You don't need to prove this formula.) Let us consider walls of length L. Let EL be the vacuum energy inside the box. We now insert a conducting plate at a distance RL parallel to one of the walls, dividing the volume into two. Denote ER and...
(a)Use Euler method to find the difference equation for the following IVP (initial value problem)...
i really just need help with part c and d. thank you!
(a)Use Euler method to find the difference equation for the following IVP (initial value problem). Please Type your work. (Due on March 5th) dt(, yo 0.01 (b) Calculate the numerical solution for 0 s t S T using k and M T where k = and T = 9 for M 32,64, 128. Using programming languages such as Ct+, MATLAB, eto. (c) Graph those numerical solutions versus exact...
Please do parts (a), (b), and (c). Please write clearly and be neat! Problem 1 Find...
Please do parts (a), (b), and (c). Please write clearly and be
neat!
Problem 1 Find a fundamental solution set B and the corresponding set of solutions S for the system AX(t)-X), where 0 2 7 A=1207 7 2 0 (a) First, find e-values and e-vectors for A. (b) Write down B and S. (c) Is A diagonalizable? If so, give the details (write down the diagonal transformatiorn BAC = D, explaining exactly what B, C, and D are) and...
please answer compleltly 2. Find the eigenfunctions and eigenvalues for the differential equation d^2u(x)/dr^2 = -k^2...
please answer compleltly
2. Find the eigenfunctions and eigenvalues for the differential equation d^2u(x)/dr^2 = -k^2 u(x) in the interval 0 < = x < = a, assuming k is a real number, for the following sets of boundary conditions: (a) bu(0)+cdu/dt|x=0 =0 and bu(a)+cdu/dx|x=a =0 (b) u(0)+a du/dx|x=0 =0 and u(a)-adu/dx|x=a =0 You need not normalize the eigenfunctions. For (b), find the equation which determines the eigenvalues and verify that there is an infinite set of eigenfunctions and eigenvalues;...
Use the following information To help you solve the following questions. Show all work for thumbs...
Use the following information
To help you solve the following questions. Show all
work for thumbs up.
3.1 Rotations and Angular-Momentum Commutation Relations 159 We are particularly interested in an infinitesimal form of Ry: (3.1.4) where terms of order & and higher are ignored. Likewise, we have R0= ° :- R(E) = 1 (3.1.5) and (3.1.5b) - E01 which may be read from (3.1.4) by cyclic permutations of x, y, zthat is, x y , y → 2,2 → x....
Please solve the following linear algebra problem. Please do parts 1 and 2 and please show...
Please solve the following linear algebra problem.
Please do parts 1 and 2 and please show all work thank you.
Problem B. (4 pts) Consider the matrix 1 - / 2 1 1 1 2 1 - 1 -1 0 You can assume that = 1 and X = 2 are eigenvalues of the matrix A. (Note: You don't have to compute the eigenvalues of A.] 1. Find an eigenvector associated with = 1. 2. Find an eigenvector associated with...
Problem 5: Find the Roll-Pitch-Yaw angle representation of the following rotation matrix. If there is infinite number of solutions, you only need to provide one set of solutions. If there are only two sets of solutions, you need to provide both sets 0 -0.866 -0.5 R-0 0.5 -0.866
Problem 5: Find the Roll-Pitch-Yaw angle representation of the following rotation matrix. If there is infinite number of solutions, you only need to provide one set of solutions. If there are only...
Problem: Given a rotation R of R3 about an arbitrary axis through a given angle find the matrix which represents R with respect to standard coordinates. Here are the details: The axis of rotation is the line L, spanned and oriented by the vector v (1,一1,-1) . Now rotate R3 about L through the angle t = 4 π according to the Right 3 Hand Rule Solution strategy: If we choose a right handed ordered ONB B- (a, b,r) for...
answer please , Cauchy problem
Exercise 4. Find all solutions of the following differential equation, after determining its domain sin y (-1) Moreover, find the solution to the Cauchy problem with initial data y(0) sketch its graph. Finally, study the behaviour of the function thus obtained at r determining its order of infinitesimal or infinite, if defined. 2 and 1
Exercise 4. Find all solutions of the following differential equation, after determining its domain sin y (-1) Moreover, find the...
3 Casimir effect We will derive the Casinir effect in three dimen- sions, making use of the Euler-Maclaurin formula where θη _ 1 for n > 0,4,-1/2, and θη 0 for n <0. (You don't need to prove this formula.) Let us consider walls of length L. Let EL be the vacuum energy inside the box. We now insert a conducting plate at a distance RL parallel to one of the walls, dividing the volume into two. Denote ER and...
i really just need help with part c and d. thank you!
(a)Use Euler method to find the difference equation for the following IVP (initial value problem). Please Type your work. (Due on March 5th) dt(, yo 0.01 (b) Calculate the numerical solution for 0 s t S T using k and M T where k = and T = 9 for M 32,64, 128. Using programming languages such as Ct+, MATLAB, eto. (c) Graph those numerical solutions versus exact...
Please do parts (a), (b), and (c). Please write clearly and be
neat!
Problem 1 Find a fundamental solution set B and the corresponding set of solutions S for the system AX(t)-X), where 0 2 7 A=1207 7 2 0 (a) First, find e-values and e-vectors for A. (b) Write down B and S. (c) Is A diagonalizable? If so, give the details (write down the diagonal transformatiorn BAC = D, explaining exactly what B, C, and D are) and...
please answer compleltly
2. Find the eigenfunctions and eigenvalues for the differential equation d^2u(x)/dr^2 = -k^2 u(x) in the interval 0 < = x < = a, assuming k is a real number, for the following sets of boundary conditions: (a) bu(0)+cdu/dt|x=0 =0 and bu(a)+cdu/dx|x=a =0 (b) u(0)+a du/dx|x=0 =0 and u(a)-adu/dx|x=a =0 You need not normalize the eigenfunctions. For (b), find the equation which determines the eigenvalues and verify that there is an infinite set of eigenfunctions and eigenvalues;...
Use the following information
To help you solve the following questions. Show all
work for thumbs up.
3.1 Rotations and Angular-Momentum Commutation Relations 159 We are particularly interested in an infinitesimal form of Ry: (3.1.4) where terms of order & and higher are ignored. Likewise, we have R0= ° :- R(E) = 1 (3.1.5) and (3.1.5b) - E01 which may be read from (3.1.4) by cyclic permutations of x, y, zthat is, x y , y → 2,2 → x....
Please solve the following linear algebra problem.
Please do parts 1 and 2 and please show all work thank you.
Problem B. (4 pts) Consider the matrix 1 - / 2 1 1 1 2 1 - 1 -1 0 You can assume that = 1 and X = 2 are eigenvalues of the matrix A. (Note: You don't have to compute the eigenvalues of A.] 1. Find an eigenvector associated with = 1. 2. Find an eigenvector associated with...
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