MAT. SCI. & ENG: AN INTO. WILEYPLUS
10th Edition
ISBN: 9781119472001
Author: Callister
Publisher: WILEY
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Chapter 7, Problem 8QAP
To determine
Sketch a
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Suppose the Laplace transform of a causal signal x₁ (t) is given by
X₁(s)
s+2
s²+1
(a) What is the Fourier transform X₁ (w) of the signal?
(b) Using the Laplace transform properties, find the Laplace transform of the following signal
x2(t).
x2(t) = e³ x₁(t−1)-4x₁(4)
Note, you do not need to simplify the expression of X2(s). However, state whether it is
possible to write X2(s) as a rational fraction (i.e. ratio of polynomials) in s.
Can you find the least amount of different numbers to pick from positive numbers (integers) that are at most 100 to confirm two numbers that add up to 101 when each number can be picked at most two times?
Consider the following mechanical system. In the figure, y(t) denotes the displacement of the
mass from its equilibrium position and u(t) denotes the force applied to the mass.
k1
kz
- y(t)
-0000
0000
3
► u(t)
b
a) Find the differential equation model of the system.
b) Find the state-space model for the system. Write x, A, B, C and D clearly in your answer.
Chapter 7 Solutions
MAT. SCI. & ENG: AN INTO. WILEYPLUS
Ch. 7 - Prob. 1QAPCh. 7 - Prob. 2QAPCh. 7 - Prob. 3QAPCh. 7 - Prob. 4QAPCh. 7 - Prob. 5QAPCh. 7 - Prob. 7QAPCh. 7 - Prob. 8QAPCh. 7 - Prob. 9QAPCh. 7 - Prob. 10QAPCh. 7 - Prob. 11QAP
Ch. 7 - Prob. 12QAPCh. 7 - Prob. 13QAPCh. 7 - Prob. 19QAPCh. 7 - Prob. 20QAPCh. 7 - Prob. 21QAPCh. 7 - Prob. 22QAPCh. 7 - Prob. 23QAPCh. 7 - Prob. 25QAPCh. 7 - Prob. 26QAPCh. 7 - Prob. 33QAPCh. 7 - Prob. 34QAPCh. 7 - Prob. 35QAPCh. 7 - Prob. 36QAPCh. 7 - Prob. 42QAPCh. 7 - Prob. 1DPCh. 7 - Prob. 3DPCh. 7 - Prob. 4DPCh. 7 - Prob. 7DPCh. 7 - Prob. 1FEQPCh. 7 - Prob. 2FEQPCh. 7 - Prob. 3FEQP
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