4. Let S be the portion of the plane x+y+z= 1 which lies in the positive octant. (a) Draw a picture of S. (b) Find a parameterization r: D → S, being sure to clearly indicate the domain D. (c) Use your answer in (b) to compute the area of S via an integral over D. (d) Check your answer in (c) using only things you learned in the first few weeks of this class.

4. Let S be the portion of the plane x+y+z= 1 which lies in the positive octant. (a) Draw a picture of S. (b) Find a parameterization r: D → S, being sure to clearly indicate the domain D. (c) Use your answer in (b) to compute the area of S via an integral over D. (d) Check your answer in (c) using only things you learned in the first few weeks of this class.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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