Question: Problem 2. Suppose I and 9 are both even functions. (a) Is 1' +9 even? Justify your answer. (b) Is fag mu? Justify your answer.

your answer. (c) Do your answers to parts (a) and (b) change

if only 9 is an even function? (Hint: For part (3}, dene

HI) = {(1) + 9(r) and check if h( :c) = h(::)}

Problem 3. The Heaviside function, H (t), is used in electrical engineering

to model a signal which is switched on at time t =

0. The formula for H(t) is given below. 0 ift

Problem 2. Suppose I and 9 are both even functions. (a) Is 1' +9 even? Justify your answer. (b) Is fag mu? Justify your answer. (c) Do your answers to parts (a) and (b) change if only 9 is an even function? (Hint: For part (3}, dene HI) = {(1) + 9(r) and check if h( :c) = h(::)} Problem 3. The Heaviside function, H (t), is used in electrical engineering to model a signal which is switched on at time t = 0. The formula for H(t) is given below. 0 ift

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