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1.26. Consider a signal x (t). Show that a. If a (t) is even, then b. If x (t) is odd, then ₁x (1) dt = 2^x (1) x (t) dt T La (t) dt = 0 1.27. Let a (t) = x₁ (t) x₂ (t). Show that a. b. c. If both ₁ (t) and 22 (t) are even, then a (t) is even. If both x₁ (t) and 2 (t) are odd, then x (t) is even. If both ₁ (t) is even and r2 (t) is odd, then a (t) is odd.

1.26. Consider a signal x (t). Show that a. If a (t) is even, then b. If x (t) is odd, then ₁x (1) dt = 2^x (1) x (t) dt T La (t) dt = 0 1.27. Let a (t) = x₁ (t) x₂ (t). Show that a. b. c. If both ₁ (t) and 22 (t) are even, then a (t) is even. If both x₁ (t) and 2 (t) are odd, then x (t) is even. If both ₁ (t) is even and r2 (t) is odd, then a (t) is odd.

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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Q1) do 

1.26 and 1.27
 
1.26. Consider a signal x (t). Show that a. If a (t) is even, then b. If x (t) is odd, then [01-1[100 x (t) dt = 2 (1) 2 x (t) dt La 1.27. Let x (t) = x₁ (t) x2 (t). Show that a. b. c. x (t) dt = 0 If both ₁ (t) and 22 (t) are even, then a (t) is even. If both ₁ (t) and x2 (t) are odd, then x (t) is even. If both ₁ (t) is even and r2 (t) is odd, then z (t) is odd.
Transcribed Image Text:1.26. Consider a signal x (t). Show that a. If a (t) is even, then b. If x (t) is odd, then [01-1[100 x (t) dt = 2 (1) 2 x (t) dt La 1.27. Let x (t) = x₁ (t) x2 (t). Show that a. b. c. x (t) dt = 0 If both ₁ (t) and 22 (t) are even, then a (t) is even. If both ₁ (t) and x2 (t) are odd, then x (t) is even. If both ₁ (t) is even and r2 (t) is odd, then z (t) is odd.
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