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Mathematics Question on integral

Which property is true for convolution integral?
A.h1(t)∗h2(t)=h2(t)∗h1(t)h_1(t)*h_2(t)=h_2(t)*h_1(t)
B. [h1(t)+h2(t)]∗h3(t)=h1(t)∗h3(t)+h2(t)∗h3(t)[h_1(t)+h_2(t)]* h_3(t) = h_1(t)* h_3 (t) +h_2 (t) * h_3(t)
C. [h!(t)+h2(t)]∗h3(t)=h1(t)h3(t)+h2(t)h3(t)[h_!(t)+h_2(t)]*h_3(t) = h_1(t)h_3(t)+h_2(t)h_3(t)
D. h1(t)∗h2(t)=h2(t)h1(t)h_1(t)*h_2(t)=h_2(t)h_1(t)
Choose the correct answer from the options given below.

A

A and B only

B

B and C only

C

C and D only

D

A and C only

Answer

A and B only

Explanation

Solution

The Correct answer is option (A) : A and B only