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28. tan(x + y) + sec(x - y) = 2, (π/8, π/8)

28. tan(x + y) + sec(x - y) = 2, (π/8, π/8)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3.5-Number 28, please
Rules 25. xy2 - x³y + 2xy³ = 0 Answer 26. y sec x= x tan y 27, 28, 29, 30, 31, 32, 33, 34, 35, and 36 Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 27. yesin = x cos y, (0, 0) Answer 28. tan(x + y) + sec(x - y) = 2, (π/8, π/8) 29. x²/3+2/3 = 4, (-3√3, 1) (astroid) Answer 30. y² (6-x) = x³, (2, √2) (cissoid of Diocles) 31. x² - xy-y² = 1, (2, 1) (hyperbola) Answer 32. x² + 2xy + 4y² = 12, (2, 1) (ellipse) AA
Transcribed Image Text:Rules 25. xy2 - x³y + 2xy³ = 0 Answer 26. y sec x= x tan y 27, 28, 29, 30, 31, 32, 33, 34, 35, and 36 Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 27. yesin = x cos y, (0, 0) Answer 28. tan(x + y) + sec(x - y) = 2, (π/8, π/8) 29. x²/3+2/3 = 4, (-3√3, 1) (astroid) Answer 30. y² (6-x) = x³, (2, √2) (cissoid of Diocles) 31. x² - xy-y² = 1, (2, 1) (hyperbola) Answer 32. x² + 2xy + 4y² = 12, (2, 1) (ellipse) AA
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