Homework Answers
Formula
for interpolation has been evaluated.
Add Answer to:
pls
A) Derive the following relationship for interpolation U= =U+U2 (6 Marks)
3) (25 marks) Consider the following problem: u2(0,t) 3, u(2,t)u(2,t), t>0 u(,0) 0, 0
3) (25 marks) Consider the following problem: u2(0,t) 3, u(2,t)u(2,t), t>0 u(,0) 0, 0<2 (a) Find the steady state solution u,(x) of this problem. b) Write a new PDE, boundary conditions and initial conditions for U(x, t) - u(x, t)- Cox) (c) Use separation of variables to find a solution to the PDE, boundary conditions and initial conditions. You must justify each step of your solution carefully to get full marks. (Hint: if you are unable to write the eigenvalues...
Question 1 Consider the following model Yi = B.z; + u (a) Derive the OLS estimator...
Question 1 Consider the following model Yi = B.z; + u (a) Derive the OLS estimator of B, B. (6 marks] (b) Show that is unbiased. [9 marks] (c) Find the variance of B. [7 marks]
Consider the bases B = {U1, U2} and B' = {u', u'z} for R2, where 6...
Consider the bases B = {U1, U2} and B' = {u', u'z} for R2, where 6 1 u = u2 = U2 = -1 -1 2. 5 Compute the coordinate vector [w]B, where W = [3 7 3 and use Formula (12) [v]s' = P. PB-8 [V]B ) to compute [w]g' [w]B = ? Edit [w] II ? Edit
(4 marks) Derive the inverse Lorentz transformation for the partial deriva- tives, u a cat (5)...
(4 marks) Derive the inverse Lorentz transformation for the partial deriva- tives, u a cat (5) (6) a ar a ду a дz a at a ar' a ay a az! a 7 at' (7) u (8) ar' Hint: you need to use the chain rule. (2 marks) Write down analogous expression to equations (5)-(8), assuming a Galilean transformation: x' = x -ut, y = y, z = z and t' = t.
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -22...
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -22, where 1 < 6, i-1,...,4, 2 Suj ui (For (.) type C(6,4).)
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -22, where 1
X=0 x = 1/2 x= L u U2 Uz (a) Trial solution for a 1-D quadratic...
X=0 x = 1/2 x= L u U2 Uz (a) Trial solution for a 1-D quadratic elastic bar element can be written as follows: ū(x) = [N]{u} where, [N] = [N1 N2 N3] and {u} u2 13 1 and Ni L2 L2 [N] and {u} are known as interpolation function matrix and nodal displacement, respectively. (272 – 3L + L´), N= = (22- La), Ns = 12 (2=– LE) Derive the expression for element stiffness matrix, (Kelem) and element force...
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -19...
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -19, where 1 < 7,i,...,4, 2 Suj ui 9. (For () type C(6,4).)
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -19, where 1
6. Let Ui, U,Un be independent Unif-2,0) random variables and Xa)in(U, U2, .., Un). Prove that...
6. Let Ui, U,Un be independent Unif-2,0) random variables and Xa)in(U, U2, .., Un). Prove that X(a) converges in probability to -2
7. Graphs u, u2, u3, u4, u5, u6} and the (a) Consider the undirected graph G...
7. Graphs u, u2, u3, u4, u5, u6} and the (a) Consider the undirected graph G (V, E), with vertex set V set of edges E ((ul,u2), (u2,u3), (u3, u4), (u4, u5), (u5, u6). (u6, ul)} i. Draw a graphical representation of G. ii. Write the adjacency matrix of the graph G ii. Is the graph G isomorphic to any member of K, C, Wn or Q? Justify your answer. a. (1 Mark) (2 Marks) (2 Marks) b. Consider an...
Q2 (a) (0) Explain what is meant by interpolation in the Finite Element Method and why...
Q2 (a) (0) Explain what is meant by interpolation in the Finite Element Method and why it is used (3 marks) What is a shape function? (3 marks) PLEASE TURN OVER 16363,16367 Page 2 of 3 0.2 (a) (Continued) (iii) For an isoparametric element, explain the relationship between shape functions, the geometry of the element and the shape the loaded element will deform to. (3 marks) (iv) Describe the relationship between structural equilibrium and the minimum potential energy state. (3...
3) (25 marks) Consider the following problem: u2(0,t) 3, u(2,t)u(2,t), t>0 u(,0) 0, 0<2 (a) Find the steady state solution u,(x) of this problem. b) Write a new PDE, boundary conditions and initial conditions for U(x, t) - u(x, t)- Cox) (c) Use separation of variables to find a solution to the PDE, boundary conditions and initial conditions. You must justify each step of your solution carefully to get full marks. (Hint: if you are unable to write the eigenvalues...
Question 1 Consider the following model Yi = B.z; + u (a) Derive the OLS estimator of B, B. (6 marks] (b) Show that is unbiased. [9 marks] (c) Find the variance of B. [7 marks]
Consider the bases B = {U1, U2} and B' = {u', u'z} for R2, where 6 1 u = u2 = U2 = -1 -1 2. 5 Compute the coordinate vector [w]B, where W = [3 7 3 and use Formula (12) [v]s' = P. PB-8 [V]B ) to compute [w]g' [w]B = ? Edit [w] II ? Edit
(4 marks) Derive the inverse Lorentz transformation for the partial deriva- tives, u a cat (5) (6) a ar a ду a дz a at a ar' a ay a az! a 7 at' (7) u (8) ar' Hint: you need to use the chain rule. (2 marks) Write down analogous expression to equations (5)-(8), assuming a Galilean transformation: x' = x -ut, y = y, z = z and t' = t.
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -22, where 1 < 6, i-1,...,4, 2 Suj ui (For (.) type C(6,4).)
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -22, where 1
X=0 x = 1/2 x= L u U2 Uz (a) Trial solution for a 1-D quadratic elastic bar element can be written as follows: ū(x) = [N]{u} where, [N] = [N1 N2 N3] and {u} u2 13 1 and Ni L2 L2 [N] and {u} are known as interpolation function matrix and nodal displacement, respectively. (272 – 3L + L´), N= = (22- La), Ns = 12 (2=– LE) Derive the expression for element stiffness matrix, (Kelem) and element force...
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -19, where 1 < 7,i,...,4, 2 Suj ui 9. (For () type C(6,4).)
11. Using generating functions, find the number of solutions of the equation 6, u1 +u2+... +u -19, where 1
6. Let Ui, U,Un be independent Unif-2,0) random variables and Xa)in(U, U2, .., Un). Prove that X(a) converges in probability to -2
7. Graphs u, u2, u3, u4, u5, u6} and the (a) Consider the undirected graph G (V, E), with vertex set V set of edges E ((ul,u2), (u2,u3), (u3, u4), (u4, u5), (u5, u6). (u6, ul)} i. Draw a graphical representation of G. ii. Write the adjacency matrix of the graph G ii. Is the graph G isomorphic to any member of K, C, Wn or Q? Justify your answer. a. (1 Mark) (2 Marks) (2 Marks) b. Consider an...
Q2 (a) (0) Explain what is meant by interpolation in the Finite Element Method and why it is used (3 marks) What is a shape function? (3 marks) PLEASE TURN OVER 16363,16367 Page 2 of 3 0.2 (a) (Continued) (iii) For an isoparametric element, explain the relationship between shape functions, the geometry of the element and the shape the loaded element will deform to. (3 marks) (iv) Describe the relationship between structural equilibrium and the minimum potential energy state. (3...
Most questions answered within 3 hours.
-
The x component of the velocity of an object vibrating
along the x-axis obeys the equation...
asked 31 minutes ago -
A junction box contains two trade size 2 raceways on the left
side, and two trade...
asked 1 hour ago -
Atmospheric Mass
Venus and Earth have about the same mass and radius, but the
atmospheric pressure...
asked 1 hour ago -
5. Discuss the use of fault tree analysis (FTA) for risk
assessment (maximum one paragraph).
asked 2 hours ago -
Given that a sample of aluminium oxide has a Young's modulus of
393 GPa and a...
asked 4 hours ago -
At a certain temperature, the equilibrium constant, Kc, for this
reaction is 53.3.
H2(g)+I2(g)−⇀↽−2HI(g)Kc=53.3
At this...
asked 5 hours ago -
Question1 ) The STL provides similiar classes called stack and
queue, both of which gave functions...
asked 6 hours ago -
For Questions 1-4, assume you have 5 bits available:
1. For (positive) integers: What is the...
asked 6 hours ago -
convert grams into vloume with the density of water being at
.997514 g/cm^3 at 23.1 Celsuis...
asked 8 hours ago -
Foreman company obtained a $20,000, 6% loan on May 1, 2018.
Principal and interest will be...
asked 8 hours ago -
5. Problem 11.05 (Discounted Payback)
eBook
Project L costs $60,000, its expected cash inflows are $14,000
per...
asked 9 hours ago -
1. Which of the following is true about politics and health
organizations?
A. Health organizations are...
asked 9 hours ago