Engineering Calculus Notes 448

Engineering Calculus Notes 448 - 436 CHAPTER 4. MAPPINGS...

Info iconThis preview shows page 1. Sign up to view the full content.

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

Unformatted text preview: 436 CHAPTER 4. MAPPINGS AND TRANSFORMATIONS z φ= → − (π/2) p x π 2 y p ′ (π/2) Figure 4.4: Curve on the Sphere so 100 J (Sph)(1, π/2, 2π ) = 0 0 1 0 −1 0 and we have 0 0 −1 0 p ′ (π/2) = 1 0 0 · 1 0 −1 0 4 0 = 4 . −1 Exercises for § 4.2 Practice problems: → 1. For each mapping below, find the Jacobian matrix JF (− 0 ) and the x → −: linearization T− 0 F at the given point x 0 → x → (a) F (x, y ) = (y, x), − 0 = (1, 2). x → x cos y, ex sin y ), − = (0, π ). (b) F (x, y ) = (e x0 3 ...
View Full Document

Ask a homework question - tutors are online