Shown beside is a curve called "lemniscate", given by 2(x² + y²)² = 25(x² - y²). A) Use implicit differentiation to obtain that dyx 50-8(x² + y²) dx y 50+8(x² + y²) B) Verify that the point (3,1) belongs to the lemniscate and find the equation of the line tangent to the curve at this point. ***** Po x wa
Shown beside is a curve called "lemniscate", given by 2(x² + y²)² = 25(x² - y²). A) Use implicit differentiation to obtain that dyx 50-8(x² + y²) dx y 50+8(x² + y²) B) Verify that the point (3,1) belongs to the lemniscate and find the equation of the line tangent to the curve at this point. ***** Po x wa
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.3: The Addition And Subtraction Formulas
Problem 79E
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