Lab6B_Ex2

# Lab6B_Ex2 - Exercise 2 1 f x,y x y Sqrt 1 x^2 9 y^2 4...

This preview shows pages 1–4. Sign up to view the full content.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Exercise 2 1 f x ,y x, y, Sqrt 1 x^2 9 y^2 4 windshield ParametricPlot3D f x, y , x, 3, 3 , y, x2 x, y, 1 9 4 y2 2, 2 2 1 y 0 1 1.0 2 0.5 z 0.0 2 0 x 2 2 2 Lab6B_Ex2.nb f x ,y x, y, Sqrt 1 x^2 9 y^2 4 windshield ParametricPlot3D f x, y , x, 0, 3 , y, x2 x, y, 1 9 4 y2 2, 2 0 1 x 2 3 2 1 0 y 1 2 0.0 0.5 1.0 z 3 R x ,y ,z 0, 0, 5 rain VectorFieldPlot3D R x, y, z , 0, 0, 1.0 z 0.5 0.0 2 x, 3, 3 , y, 2, 2 , z, 0, 1 5 1 0 y 1 2 2 0 x 2 Lab6B_Ex2.nb 3 Show windshield , rain, PlotRange 3, 3 , 2, 2 , 0, 1 2 1 y 1 2 0 1.0 0.5 z 0.0 2 2 0 x Apply R , f x, y 0, 0, n 5 Cross D f x, y , x , D f x, y , y x , 9 1 x2 9 y2 4 y ,1 4 1 x2 9 y2 4 integrand Apply R , f x, y .n; Integrate integrand , x, 3, 3 , y, 120 4 R x ,y ,z 40 , 0 , 5 40, 0, 5 2, 2 4 Lab6B_Ex2.nb newrain VectorFieldPlot3D R x, y, z , x, 0, 3 , y, 2, 2 , z, 0, 1 Show windshield , newrain, PlotRange 0, 3 , 2, 2 , 0, 1 3 2 1.0 1 z 0.5 0 0.0 2 1 0 y 1 2 x 1.0 2 0.5 1 0.0 y 0 1 2 2 1 x 3 z 0 integrand Apply R , f x, y .Cross D f x, y , x , D f x, y , y Integrate integrand , x, 0, 3 , y, 2, 2 20 3 4 2Π ; ...
View Full Document

## This note was uploaded on 03/07/2011 for the course MATH 2374 taught by Professor Mosher during the Spring '07 term at Minnesota.

### Page1 / 4

Lab6B_Ex2 - Exercise 2 1 f x,y x y Sqrt 1 x^2 9 y^2 4...

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online