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Definition
Assume that f(t) is a piecewise continuous function. The Laplace transform of f(t) is denoted L{ f (t )} and defined by,
There is an optional notation for Laplace transforms. For the sake of convenience we will frequently denote Laplace transforms by,
L { f (t )} = F (s)
With this optional notation, note that the transform is actually a function of a new variable, s, and which all the t's will drop out into the integration process.
Here, the integral in the definition of the transform is termed as an improper integral and this would probably be best to recall how these types of integrals work before we in fact jump in calculating some transforms.
what is the differeance in between determinate and matrix .
We have independent observations Xi, for i = 1, . . . , n, from a mixture of m Poisson distributions with component probabilities d c and rates l c, for c = 1, . . . ,m. We decid
write 107 in expanded form.
find the normalised differential of the following {1,x,x^3}
Proof of: lim q →0 (cos q -1) / q = 0 We will begin by doing the following, lim q →0 (cosq -1)/q = lim q →0 ((cosq - 1)(cosq + 1))/(q (cosq + 1)) = lim q
If 7 cosec?-3cot? = 7, prove that 7cot? - 3cosec? = 3. Ans: 7 Cosec?-2Cot?=7 P.T 7Cot? - 3 Cosec?=3 7 Cosec?-3Cot?=7 ⇒7Cosec?-7=3Cot? ⇒7(Cosec?-1)=3Cot? ⇒7(C
#question.x2-y2-4x-2y+3.
Let the Sample Space S = {1, 2, 3, 4, 5, 6, 7, 8}. Suppose each outcome is equally likely. Compute the probability of event E = "an even number is selected".
The question is: If 0.2 x n = 1.4,what is the value of n.
From past experience a machine is termed to be set up correctly on 90 percent of occasions. If the machine is set up correctly then 95 percent of good parts are expected however i
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