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a) Use a parametrization to calculate the surface area of the portion of the cone z = √² + y²/3 between the planes z = 1 and 2 = 4/3. b) Use a parametrization to calculate the surface area of the portion of the sphere z² + y² + 2²4 between the planes z = -1 and z = √3.

a) Use a parametrization to calculate the surface area of the portion of the cone z = √² + y²/3 between the planes z = 1 and 2 = 4/3. b) Use a parametrization to calculate the surface area of the portion of the sphere z² + y² + 2²4 between the planes z = -1 and z = √3.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 9.3 Areas of surfaces a) Use a parametrization to calculate the surface area of the portion of the cone z = √² + y2/3 between the planes z = 1 and z = z = 4/3. b) Use a parametrization to calculate the surface area of the portion of the sphere x² + y² + 2² = 4 between the planes z = -1 and z = √3.
Transcribed Image Text:Problem 9.3 Areas of surfaces a) Use a parametrization to calculate the surface area of the portion of the cone z = √² + y2/3 between the planes z = 1 and z = z = 4/3. b) Use a parametrization to calculate the surface area of the portion of the sphere x² + y² + 2² = 4 between the planes z = -1 and z = √3.
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