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Earn +20 ptsQ: Why is the position function named s of t?
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What is the laplace transform of log function?
The Laplace transform is a widely used integral transform in mathematics with many applications in physics and engineering. It is a linear operator of a function f(t) with a real argument t (t ≥ 0) that transforms f(t) to a function F(s) with complex argument s, given by the integral F(s) = \int_0^\infty f(t) e^{-st}\,dt.
Can a discontinious function have laplace transform?
Yes, but it can be hard to find. Some easier to find examples are: L(Dirac Delta(t-a))=e^(-a*s) L(u(t-a)*f(t))=(e^(-a*s))*L(f(t-a))
Position of a particle moving along the x axis varies in time according to x equals 3t2 evaluate its positons at t equals 3s?
s(t) = 3t^2, t = 3 s s(3) = 3(3^2) s(3) = 27 units
What is a periodic function?
f is a periodic function if there is a T that: f(x+T)=f(x)
What is one dimensional signal?
A signal which is a function of single independent variable is called one dimensional signal; s(t)=7t; here the only independent variable is 't'.
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