Use the given transformation to evaluate the given integral, where R is the triangular region with vertices (0, 0), (8, 1),and (1, 8).160(x - 3y) dA, x = 8u + v, y = u + 8v

Consider the given integral, ∫∫Rx-3ydA and consider the given transformation, x=8u+vy=u+8v so, the…

Answered: Use the given transformation to…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 12T

See similar textbooks

Similar questions

Use the given transformation to evaluate the given integral, where R is the triangular region with vertices (0, 0), (8, 1), and (1, 8). (x − 3y) dA R , x = 8u + v, y = u + 8v
Use the given transformation to evaluate the integral, 3 cos(5((y-x)/(y+x))) dA u = y − x, v = y + x where R is the trapezoidal region with vertices (3, 0), (10, 0), (0, 10), and (0, 3);
Use the given transformation to evaluate the integral, (x − 10y) dA, over R where R is the triangular region with vertices (0, 0), (9, 1), and (1, 9). x = 9u + v, y = u + 9v
Use the transformation u=3x+4y, v=x+4y to evaluate the given integral for the region R bounded by the lines
Use the given transformation to evaluate the integral, 3x2 dA, where R is the region bounded by the ellipse 4x2 + 9y2 = 36; x = 3u, y = 2v
Find the Jacobian of the transformation. x=u/v, y=v/w, z=w/w, and evaluate the double integral of x^2 dA where R is the region bounded by 9x^2+4y^2=36, x=2u and y=3v.
Use the given transformation to evaluate the double integral, 7((x-4y)/(7x-y)) dA where R is the parallelogram enclosed by the lines x − 4y = 0, x − 4y = 8, 7x − y = 2, and 7x − y = 3; u = x − 4y, v = 7x − y
Use the given transformation to evaluate the integral, 10 sin(81x2 + 49y2) dA, where R is the region in the first quadrant bounded by the ellipse 81x2 + 49y2 = 1; u = 9x, v = 7y
Use the given transformation to evaluate the integral ʃʃ 10x2dA where R is the region bounded by the ellipse 4x2 + 25y2 = 100; x = 5u, y = 2v
for thefollowing transformation u= x+y , v = x - y change the integral ∫₀¹∫₀ˣdydx to an iterated integral dudv

Recommended textbooks for you

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

Algebra & Trigonometry with Analytic Geometry

Algebra

ISBN:

9781133382119

Author:

Swokowski

Publisher:

Cengage

SEE MORE TEXTBOOKS

Use the given transformation to evaluate the given integral, where R is the triangular region with vertices (0, 0), (8, 1), and (1, 8). L (x - 3y) dA, x = 8u + v, y = u + 8v