4) For each of the systems below, x(n) is the input and y(n) is the output. Determine which systems are homogeneous, which system are additive, and which are linear. a) y(n) = 6x(n + 2) + 4x(n + 1) + 2x(n) + 1 b) y(n) = 6x(n) + [x(n + 1)x(n − 1)]/x(n) c) y(n) = x(n)sin(7)
4) For each of the systems below, x(n) is the input and y(n) is the output. Determine which systems are homogeneous, which system are additive, and which are linear. a) y(n) = 6x(n + 2) + 4x(n + 1) + 2x(n) + 1 b) y(n) = 6x(n) + [x(n + 1)x(n − 1)]/x(n) c) y(n) = x(n)sin(7)
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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![4) For each of the systems below, x(n) is the input and y(n) is the output. Determine which
systems are homogeneous, which system are additive, and which are linear.
a) y(n) = 6x(n + 2) + 4x(n + 1) + 2x(n) + 1
b) y(n) = 6x(n) + [x(n + 1)x(n − 1)]/x(n)
c) y(n) = x(n)sin(7)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7bc3513b-8f03-48ef-b371-8a0feb49c7bb%2Fd7333d90-f06c-47ac-beaf-9c40cbd55395%2F3uhhgb8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4) For each of the systems below, x(n) is the input and y(n) is the output. Determine which
systems are homogeneous, which system are additive, and which are linear.
a) y(n) = 6x(n + 2) + 4x(n + 1) + 2x(n) + 1
b) y(n) = 6x(n) + [x(n + 1)x(n − 1)]/x(n)
c) y(n) = x(n)sin(7)
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Step 1: State the given data.
VIEWStep 2: Defining the homogeneous, additive and linearity property of the system.
VIEWStep 3: a) Checking the homogeneous, additive and linear property of the system.
VIEWStep 4: b) Checking the homogeneous, additive and linear property of the system.
VIEWStep 5: c) Checking the homogeneous, additive and linear property of the system.
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