(1 point) Consider the transformation T: x=24u-v, y=u+ 24v A. Compute the Jacobian: d(x,y) d(u,v) = B. The transformation is linear, which implies that it transforms lines into lines. Thus, it transforms the square S: -40 ≤ u≤ 40, -40 ≤ ≤ 40 into a square T(S) with vertices: T(40, 40) = ( T(-40, 40) = ( T(-40, -40) = ( T(40, -40) = ( C. Use the transformation T to evaluate the integral x² + y2² dA orn partial credit on this problem.

Let D be a parallelogram with vertices (0,0), (2, 1), (2,3), (4,4) Find a linear transformation x=x(u,v), y=y(u,v) and use to evaluate (x + y)dA 35 2 a. b. C. d. e. 16 32 3 12 15

Consider the function T : R2 → R² given by T(и, v) — (г, у) — (9и + 4v, 3и + 9u) Find the Jacobian of the transformation. Type your answer.

Topic is Linear Transformation: Instruction: Provide the image for v and the pre-image for u of the given linear transformation: a. T: R2 -> R2, T(v1 ,v2) = (v1 , v1 + 2v2) , where v = (2,3), u = (4,12) b. T: R3 -> R3,  T(v1 , v2 , v3 ) = (0 , v1 + v2 , v2 + v3) , v = (-3,2,5) , u = (0,2,5)