Determine f*g a) f(t) = cos(t), g(t) = t b) f(t)=e¹, g(t) = e'sin(t)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question 5

**Exercise 5: Convolution of Functions**

Determine \( f \star g \).

a) Given \( f(t) = \cos(t) \) and \( g(t) = t \).

b) Given \( f(t) = e^t \) and \( g(t) = e^t \sin(t) \).

**Explanation:** The task involves finding the convolution \( f \star g \) for each pair of functions provided in parts a and b.
Transcribed Image Text:**Exercise 5: Convolution of Functions** Determine \( f \star g \). a) Given \( f(t) = \cos(t) \) and \( g(t) = t \). b) Given \( f(t) = e^t \) and \( g(t) = e^t \sin(t) \). **Explanation:** The task involves finding the convolution \( f \star g \) for each pair of functions provided in parts a and b.
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