{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

PS7_answers - Math 237 A1 i Problem Set 7 Answers ii iii A2...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Math 237 Problem Set 7 Answers A1. i) ii) iii) A2. A3. (4 . 980 , 0 . 6224). A4. a) parenleftbigg 3 e - e - e 3 e parenrightbigg c) parenleftbigg 2 e 2 0 2( e 4 - 1) 2( e 4 + 1) parenrightbigg . A5. parenleftbigg 0 4 1 1 parenrightbigg A6. a) F - 1 ( u, v ) = ( - ln ( u - v 2 ) , 1 2 ( u + v ) ) . b) DF = bracketleftbigg - e - x 1 e - x 1 bracketrightbigg , DF - 1 = bracketleftbigg - 1 / ( u - v ) 1( u - v ) 1 / 2 1 / 2 bracketrightbigg . A7. i) ( u,v ) ( x,y ) ( π 4 , π 4 ) = 2. The Jacobian is zero when x + y = πk or x - y = π 2 + πk , k Z . ii) ( u,v ) ( x,y ) (0 , 1) = - 2. The Jacobian is zero when y = 0 or y = 2 x . A8. i) 5 2 Δ x Δ y . ii) 1 2 Δ x Δ y . B1. u = - 1 4 ( y - 3 x ), v = 1 4 (2 y - x ). B2. f ( x, y ) = ( 1 2 ( x
Background image of page 1

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

View Full Document Right Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}