The solution to this problem is given by
Is the following function is a valued s- transform of pdf 1-e-s Mx(s) = S Select...
The random variable X has the following pdf: 2x 0 < x < 1 fx(x) = 0 otherwise Find the s-transform of X, Mx(s) Select one: e-s 1 O a. My(s) = - + S s2 е 1 O b. My(s) = + S 52 52 O c. 1x6) = 2 (6 + 5) O d. 1 My(s) = 2 »=2(+1)
a) The pdf of a random variable X is (1-μ e 26 The generating function of X is t2 -2 Use what you see to write down the Fourier transform of pdf[x] b) What is the relation between The Fourier transform of pdf[x] and the characteristic function of X? c) If the pdfs of two random variables have the same Fourier transform, then must they have the same cumulative distribution function? L.14 The pdf of a random variable X is...
The Laplace transform inverse of the function: F(s)= s+1 $2+6s+13 is: Select one: e3tcos2t-e3tsin2t e -3t cosh2t-e-3t sinh2t e-3t cost-e-3tsin2t e3t cosh2t-e3tsin2t Non
PROBLEM # 5 Let S CRd. A function f S is sometimes called a vector-valued function of k. In this case a) Show that a vector-valued function is f = (fi, ,:W : S → Rk continuous iff each component function note that one can write f(x) (fi()..,fk(z)) where each fi S Ris a real valued function. fi: S-R is continuous. b) P Sd C Rd+1-{x e Rd+1 rove that the uit sphere 1 111-1) is always a compact and...
- Question 1 1 point The following function is a pdf: 2 - x) 0 <3 < 2 f (x) = { 10" 1 0 otherwise True False - Question 2 1 point Number Help A card is drawn from a standard deck of 52 cards. What is the probability that the card belongs to the set {4,5..., 8}? decimal accuracy please.) -ZC Number
Find the zeros of the function and state the multiplicities. mx-x5-3x3 Select one: o a.-13,0, 3; each of multiplicity 3 b.-13,3 each of multiplicity 1; 0 of multiplicity 3 o c. 3,B each of multiplicity 3; 0 of multiplicity 1 o d.-3.0, v3; each of multiplicity 1
Can you answer with explaining? Please find the Laplace transform for the following function: f(1)s e-41 sin 31 sin 71 g(t) = e-2, sin(81 + 60" ) + 51c" a. b.
Find the Laplace transform of the function f(t) = t, 0 <t<1 1, t>1 s e ОА 52 e-(s-1) OB S $2 1- e-s ос. $2 S OD S 1-e OE S
e Let f(t) be a function on [0, 0). The Laplace transform off is the function F defined by the integral F(s) = s e -stf(t)dt. Use this definition to determine the Laplace transform of the following function. 0 0<t<3 f(t)= 4, 3<t e 6-35 s-1 4 The Laplace transform of f(t) is F(s) = + e - 3s for all positive s# 2 and F(s) = 3+2 e -6 2-S S otherwise. (Type exact answers.)
USE DEFINITION 1 TO DETERMINE THE LAPLACE TRANSFORM OF THE FOLLOWING FUNCTION. f(t)= e sin(t) Laplace Transform Definition 1. Let f(t)be a function on [0,00). The Laplace transform of f is the function defined by the integral The domain of F(s) is all the values of " for which the integral in (1) exists.' The Laplace transform of fis denoted by both and ${/}. QUESTION 2. (3PTS) USE TABLE 7.1 AND 7.2 TO DETERMINE THE LAPLACE TRANSFORM OF THE GIVEN...