a(x,y,z) (1 point) Find the Jacobian. a(s,t,u) where x = 3t – 2s – 4u, y=...
Solve the following relations for x and y, and compute the Jacobian J(u,v). u=x+3y, v = 5x + 4y x=y=0 (Type expressions using u and v as the variables.) Choose the correct Jacobian determinant of T below. a A. J(u, v) = du - 4u + 3v a 11 - 4u+ 3v 11 a O B. J(u,v) = -4u + 3v 11 a (5u-v dy du Mal . (517") i (517) (507°) (-44*34) dic (547) OC. Jusv) = m (...
4) Do the lines: L: x = 2t + 3, y = 3t – 2, z = 4t - 1 and L2 : x = 8 +6, y = 2s + 2, z = 2s + 5 intersect? If not provide a reason, if yes find the intersection point.
Question 3 (1 point) Consider the lines: L1: x=-6t, y=1+9t, z=-3t L2: x=1+2s, y=4-3s, z=s Choose their intersection point from below (0,0,1) none (1,2,1) (0,1,0)
Compute the Jacobian J(u, v) for the following transformation. x = 4u, y= - v J(u, v) = (Simplify your answer.)
2. Find the following derivatives. 2s and zt, where z =9xy - 3x?y, x=2s+5t, and y = 2s - 5t dz gy6xy (Type an expression using x and y as the variables.) дх os = 2 (Type an expression using s and t as the variables.) dz = 9x - 3x2 (Type an expression using x and y as the variables.) dy = 2 (Type an expression using s and t as the variables.) dx = 5 (Type an expression...
z = 2w/u Find the Jacobian of the transformation. x = Bulv, y = 4v/w, 6400w a(u, v, w) UVW a(x, y, 2) 640 Need Help? Read It Watch it Talk to a Tutor
Evaluate L{(3t+1)U(t – 2)}. 1 -2s Evaluate L s2 (s–1)
Let T : R2 R2 be projection on the line L in the figure below Find a match from the given choices for each of the following T(u) T(v) T(u)+T(v) T(u+v) T(X) T(O) 4T (u) T(4u) 2T(u)+3T(v) T(2u+3v) True or False? False T(O)-O where O-(0,0) True or False? False for all u and v in R2 T(u+v)=T(u)-T(v) True or False? False T(cu)-T(cu) for all u in R2 and all scalars c True or False? False T is linear Let T...
8. Find a Green's function for Lu u" +4u, 0< x<T, u(0) = u(#) = 0. 9. Find the general solution of ut+ cu f(x,t) 8. Find a Green's function for Lu u" +4u, 0
l, t)4u (x, t), 0<x< L, 0 <t Evaluate u(1.1; 0.3) where u(x, t) u(0, 1)= u(L, t)- 0v1> 0 u(x, 0)= f(x), u,(x, 0)- g(x), 0<x< L L=T al f(x) 3sin 2x, g(x)=-2sin 3x b/ For f(x)-xn-x & g(x)-0, approximate numerically u(x, t) by the first term. L-S c/f(x)=-3sin g(x)- 5 2sin d/ f(x)-0, g()= .3 x +1 approximate numerically u(x, t) by the first term c/ f(x)-2(5-xx, g(x) x+1 3 approximate numerically u(x, t) by the first couple...