b 14. Compute the area of the portion of the saddle-like surface z = (2² - y²) that lies inside the cylinder x² + y² ≤ a². (Draw a sketch!) What is the leading-order term in this area as either a 0 or b→ 0?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 12T
Question
b
14. Compute the area of the portion of the saddle-like surface z = (2² - y²) that lies inside
the cylinder x² + y² ≤ a². (Draw a sketch!) What is the leading-order term in this area as
either a → 0 or b→ 0?
Transcribed Image Text:b 14. Compute the area of the portion of the saddle-like surface z = (2² - y²) that lies inside the cylinder x² + y² ≤ a². (Draw a sketch!) What is the leading-order term in this area as either a → 0 or b→ 0?
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