4. (10 points) Find the Jacobian of the transformation = + 0 , y = 1...
002 10.0 points Find the Jacobian of the transformation T: (r, 0) + (x, y) when x = e" cose, y = 2e-" sin . 1. O(x, y) = 2 cos 20 a(r, 0) 2. 8(x, y) a(r, 0j = -3e2r 2(x, y) a(r, 0) = -2 cos 20 4. (x, y) = 2 4. Əlr, o) 5. 0(x, y) = 3er cos 20 5. Ə(r, ) 2(x, y) - 2.21 DA a(r, 0) = -3e4
Question 6 (3 points) a -- 2 points) Find the Jacobian of the transformation the shear transformation: x = au + bv + cw, y=dy + ew, and z fw, where a, b, c, d, e, and f are positive real numbers, and describe the how the volume of the unit cube in uvw coordinates compares to the volume of its transformation in Cartesian coordinates. = b -- 1 point) State one example of a practical application shown in lecture...
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
Find the Jacobian of the transformation: x=uev, y=veu
4. Use the Jacobian of a coordinate transformation to find the area of the parallelogram bounded by the lines y = 3.0, y = 3.+2, y =l-r, y = 4-r.
Find the Jacobian of the transformation x = 3u + 6v, y = 2v – 8u.
Compute the Jacobian for the transformation and. Bonus: Find the coordinates for the point in the xy-Plane. 11. (7 pts.) Compute the Jacobian for the transformation x = ue' and y=ue". Bonus: Find the (u, v) coordinates for the point in the xy-Plane (3e, \e).
Find the Jacobian of the transformation.
a. Find the Jacobian of the transformation x= 34, y = uv and sketch the region G: 3531 56, 15 uv s 2, in the uv-plane. 6 2 b. Then use -- S S «y dx dy=[[«guw, rus),Mw.v) du dv to transform the integrat $ žay dx into an integral over 6, and evaluate both integrals. R G a. The Jacobian is Choose the correct sketch of the region G below. OC. D. OA. AV 6- 12 b. Write the...
Find the Jacobian of the transformation. r = 3er sin(20), y=e-3r cos(20) a (x, y) a(r, o) - Need Help? Read it Master It Talk to a Tutor