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Mathematical Properties

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Exploring Fundamental Properties

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Fill the second column. Identify what the independent and dependent variables are for this problem. Give the corresponding ordered pair using the variables Find the slope by hand ...

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1. Find the inverse Laplace transform of something like (a) L−1 1 s2 + 4s + 20 (b) L−1 e4s (s + 2)3
2. Find the solution of the initial value problem. Recall L{δ(t − t0)} = e−st0.
y′′ + 16y = u2(t) + δ(t + 3) , y(0) = 2, y′(0) = 0
3. Express solution of the initial value problem in terms of a convolution integral y′′ + 5y′ + 6y = g(t) , y(0) = 1, y′(0) = 0
4. Find values of a and c which make V (x,y) = ax2 + cy2 a Liapunov function to show that (0,0) is unstable for dx dt = xy4 + x3 + xy2 dy dt = −x2y + y3 − x6

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Mathematical Properties

There are three basic mathematical properties of marked Petri nets: Reachability, Liveness, and Boundedness. For more details of these three properties, you could find the definitions on Wikipedia . Give a real example outside computer science field that shows the property of reachability is not sat ...

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Exploring Fundamental Properties

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Business Management

Fill the second column. Identify what the independent and dependent variables are for this problem. Give the corresponding ordered pair using the variables Find the slope by hand ...

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Q

Mathematics

1. Q1: Scientific Method. Explain what the Scientific Method consists of, and what it is used for. 2. Q2: Multiple Linear and Polynomial Regression Discuss Multiple Linear Regression and how it can be used to solve Polynomial Regression with one independent variable. Hint: You can use a change of va ...

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