9. Let x: RΣ be the 2-segment in the sphere 2 obtained by restrictingthe geographical patchx(u, v)=(r cos v cos u, r cos v sin u, r sin v)to the rectangle R: 0curves a, 6, 7, 8 of x,sketch of Σ.≤u, v ≤ T/2. Find explicit formulas for the edgeand show these curves and the image x(R) on a

Given: xu,v=r cos v cos u, r cos v sin u, r sin v To find: Explicit formula

9. Let x: RΣ be the 2-segment in the sphere Σ obtained by restricting the geographical patch x(u, v) = (r cos v cos u, r cos v sin u, r sin v) to the rectangle R: 0 ≤u, v ≤ T/2. Find explicit formulas for the edge curves a, 6, 7, 8 of x, and show these curves and the image x (R) on a sketch of Σ.

9. Let x: RΣ be the 2-segment in the sphere Σ obtained by restricting the geographical patch x(u, v) = (r cos v cos u, r cos v sin u, r sin v) to the rectangle R: 0 ≤u, v ≤ T/2. Find explicit formulas for the edge curves a, 6, 7, 8 of x, and show these curves and the image x (R) on a sketch of Σ.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.4: Plane Curves And Parametric Equations

Problem 34E

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