Calculus

posted by .

Consider the transformation T:x=(41/40)u−(9/41)v , y=(9/41)u+(40/41)v

A. Computer the Jacobian:
delta(x,y)/delta(u,v)= ?

B. The transformation is linear, which implies that it transforms lines into lines. Thus, it transforms the square S:−41<=u<=41, −41<=v<=41 into a square T(S) with vertices:

T(41, 41) = ( ? , ? )

T(-41, 41) = ( ? , ? )

T(-41, -41) = ( ? , ? )

T(41, -41) = ( ? , ? )

C. Use the transformation T to evaluate the integral double integral_T(S) (x^2+y^2) dA

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calculus

    Find an equation for the surface consisting of all points P(x, y, z) equidistant from the point P(0, 1, 0) and the plane x = 3. Answer Choices: 1. y2 + z2 − 6x + 2y − 8 = 0 2. x2 + z2 + 6y − 2z − 8 = 0 3. y2 …
  2. biology

    Given the part of the molecule shown below, can the underlined atom participate in a hydrogen bond with an approriate bonding partner?
  3. Grade 12 Calculus

    Evaluate each of the following. Show all your calculations. a) f'(3) if f(x)  = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X)  = −3x^2 − 5x + 7 …
  4. calculus (gr 12)

    Evaluate each of the following. Show all your calculations. a) f'(3) if f(x)  = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X)  = −3x^2 − 5x + 7 …
  5. calculus (gr 12)

    Evaluate each of the following. Show all your calculations. a) f'(3) if f(x)  = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X)  = −3x^2 − 5x + 7 …
  6. Chemistry

    2CH3CH2CH2OH(l)+9O2(g)→6CO2(g)+8H2O(g) I have to find the delta G delta G of CH3CH2CH2OH(l)=−360.5 KJ/Mol delta G of O2(g)=0 KJ/Mol delta G of CO2(g)=−394.4 KJ/Mol delta G of H20(g)=−228.6 KJ/Mol I keep getting …
  7. science

    1 A ……... is a rectangular array of numbers that are enclosed within a bracket . horizontal set vertical matrix 2 When the numbers of rows is equal to the numbers of columns equal to 'n'. Where m=n. Then is called….. …
  8. Linear Algebra

    2. Suppose that T is a linear transformation from R2 to R4 such that T ((1, 1)) = (3, −1, 4, −3) and T ((2, −1)) = (3, −2, −1, −3). Determine the matrix of T (with respect to the standard bases). …
  9. Linear Algebra

    Transform the matrix A=[5,−3;1,1], into a matrix B using the similarity transformation (C^−1)AC, with matrix C=[3,1;1,1]. B=(C^−1)AC = ?
  10. Geometry

    Triangle ABC is given by the points A(1,1), B(3,2), C(2,3). Consider each rule of transformation. Does the rule result in an image with points A'(2,2), B'(6,3), and C'(4,4). (x,y) transforms into (x,y+1) y/n (x,y) transforms into (2x,2y) …

More Similar Questions