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(ii) L„(sin x) dx # 0 .

(ii) L„(sin x) dx # 0 .

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 92E
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pls answer a(ii)

(a) State if the following are True or False. You need not show any working. (i) f(t) = (t³)(t°) is an odd function. (ii) L,(sin x) dx # 0 . (А, |t| < T sin wT (iii) Given the Fourier transform pair f (t) = }" and F(w) = 2A then %3D |t| > T the Fourier transform of g(t) S2, |t| < 1 is G(@) = sin w = 12 = 3 l0, |t| > 1 1 (iv) If f(t) = e2t H (t), its Fourier transform is F (w) : -2+iw (v) The Fourier transform of ei2t e-3|t| is 9+(@-2)²
Transcribed Image Text:(a) State if the following are True or False. You need not show any working. (i) f(t) = (t³)(t°) is an odd function. (ii) L,(sin x) dx # 0 . (А, |t| < T sin wT (iii) Given the Fourier transform pair f (t) = }" and F(w) = 2A then %3D |t| > T the Fourier transform of g(t) S2, |t| < 1 is G(@) = sin w = 12 = 3 l0, |t| > 1 1 (iv) If f(t) = e2t H (t), its Fourier transform is F (w) : -2+iw (v) The Fourier transform of ei2t e-3|t| is 9+(@-2)²
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