Let the function f(x, y, t) = x²-y² = (-) for all real values x, y and t±1. (a) Evaluate f(2,0,3) and f(0, 2, 3). 1-12 (b) Show that f(x, y, 0) = f(y, x, 0) for any values of (x,y). (c) Show that f(x,y,t) = f(y, x, t) for any values of (x, y) and t‡ ±1. (d) Given (x2 y2)(1 + sin(s)) (x g(x, y, s) = 2 - y sin(s))² infos suor 1 — sin(s) for all real values x, y and s +2πk, where k is an integer number, show that g(x, y, s) = g(y, x, s) for any values of (x, y) and s in the domain of g(x, y, s).

Let the function f(x, y, t) = x²-y² = (-) for all real values x, y and t±1. (a) Evaluate f(2,0,3) and f(0, 2, 3). 1-12 (b) Show that f(x, y, 0) = f(y, x, 0) for any values of (x,y). (c) Show that f(x,y,t) = f(y, x, t) for any values of (x, y) and t‡ ±1. (d) Given (x2 y2)(1 + sin(s)) (x g(x, y, s) = 2 - y sin(s))² infos suor 1 — sin(s) for all real values x, y and s +2πk, where k is an integer number, show that g(x, y, s) = g(y, x, s) for any values of (x, y) and s in the domain of g(x, y, s).

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 50E

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