Posted by **Salman** on Wednesday, April 14, 2010 at 6:51pm.

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

## Answer This Question

## Related Questions

- Linear Algebra - 2. Suppose that T is a linear transformation from R2 to R4 such...
- Geometry - Triangle ABC is given by the points A(1,1), B(3,2), C(2,3). Consider ...
- biology - Given the part of the molecule shown below, can the underlined atom ...
- Linear Algebra - Transform the matrix A=[5,−3;1,1], into a matrix B using ...
- Chemistry - 2CH3CH2CH2OH(l)+9O2(g)→6CO2(g)+8H2O(g) I have to find the ...
- Grade 12 Calculus - Evaluate each of the following. Show all your calculations. ...
- calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...
- calculus (gr 12) - Evaluate each of the following. Show all your calculations. a...
- calculus - Find an equation for the surface consisting of all points P(x, y, z) ...
- science - 1 A ……... is a rectangular array of numbers that are ...

More Related Questions