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Calculus
36. 10x? + 7y² = 1 toh

36. 10x? + 7y² = 1 toh

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Rational Functions And Conics
Section: Chapter Questions
Problem 90RE
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Can you please help me with number 36

**Topic: Calculating the Area of an Ellipse in the xy-plane** **Instructions:** In Exercises 33-40, determine the area inside the ellipse in the xy-plane determined by the given equation. **Exercises:** 33. \(\frac{x^2}{7} + \frac{y^2}{16} = 1\) 34. \(\frac{x^2}{9} + \frac{y^2}{5} = 1\) 35. \(2x^2 + 3y^2 = 1\) 36. \(10x^2 + 7y^2 = 1\) 37. \(3x^2 + 2y^2 = 7\) 38. \(5x^2 + 9y^2 = 3\) 39. \(3x^2 + 4x + 2y^2 + 3y = 2\) 40. \(4x^2 + 2x + 5y^2 + y = 2\) **Guidelines:** Find the area of each ellipse by manipulating the given equations into standard form if necessary and applying the formula for the area of an ellipse. Provide step-by-step calculations where required.
Transcribed Image Text:**Topic: Calculating the Area of an Ellipse in the xy-plane** **Instructions:** In Exercises 33-40, determine the area inside the ellipse in the xy-plane determined by the given equation. **Exercises:** 33. \(\frac{x^2}{7} + \frac{y^2}{16} = 1\) 34. \(\frac{x^2}{9} + \frac{y^2}{5} = 1\) 35. \(2x^2 + 3y^2 = 1\) 36. \(10x^2 + 7y^2 = 1\) 37. \(3x^2 + 2y^2 = 7\) 38. \(5x^2 + 9y^2 = 3\) 39. \(3x^2 + 4x + 2y^2 + 3y = 2\) 40. \(4x^2 + 2x + 5y^2 + y = 2\) **Guidelines:** Find the area of each ellipse by manipulating the given equations into standard form if necessary and applying the formula for the area of an ellipse. Provide step-by-step calculations where required.
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