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Let S be the surface in R³ that lies on and between the planes given by z = 2 and z = 7. Then the area of S is A(S) = C = {(z, y, z) € R³ | 2² = 49(x² + y²)}

Let S be the surface in R³ that lies on and between the planes given by z = 2 and z = 7. Then the area of S is A(S) = C = {(z, y, z) € R³ | 2² = 49(x² + y²)}

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 39RE
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Let S be the surface in R³ that lies on and between the planes given by z = 2 and z = 7. Then the area of S is A(S) Check = Let S be the surface in R³ that lies on Check C = {(2, y, z) € R³ | 2² = 49(z² + y²)} C = {(2, y, z) = R³ | z = 2² + 4y} and above the triangle in the zy-plane with corners (0, 0), (3, 0), (3, 4). Then the area A(S) of S is A(S)
Transcribed Image Text:Let S be the surface in R³ that lies on and between the planes given by z = 2 and z = 7. Then the area of S is A(S) Check = Let S be the surface in R³ that lies on Check C = {(2, y, z) € R³ | 2² = 49(z² + y²)} C = {(2, y, z) = R³ | z = 2² + 4y} and above the triangle in the zy-plane with corners (0, 0), (3, 0), (3, 4). Then the area A(S) of S is A(S)
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