1. probability density function of a random process has been shown, Determine probability distribution function and p (x≤1.5) and a, b, c Sax²+bx²+c -2<×12. P(x)= *72. *5-2
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- Multiply the Following Vectors using cross Product method. W = † x F F = ( 5i + 3j – 8 k) N f = (2i – 4j – 5k) mItem 1 of 5 Find the error propagated from the function y = x³ if an eror of 0.09 occurs in the independent variable when it is originally 2.9. Find the projected vallue of the function.Find the relative error of the following cases. Also, detemine the number of significant digits in the approximations a. x = 2.818238112 and x = 2.81823 b. z = 0.00000067 and z = .000006
- Find the Laplace transform of f(t)={0, t<3 ={t2−6t+13, t≥3 F(s)=3. It is a continuous-time signal representation in terms of complex exponentials. A. Differential Equation B. Analog Signals C. Laplace Transform D. Inverse Laplace Transform 4. Which of the following is the laplace transform of ebt f(t)? A. e-bt F(s) B. F(s + b) C. SF(s) + b D. F(s) 5. What is the Laplace Transform of f(t) = 3t + 4? A. 4/s? + 3/s B. 3/s? – 4/s C. 3/s? + 4/s D. 4/s? – 3/sSuppose that L = 2.5 in Determine the location (x,y) of the Centroid C of the area. Please express the answers in three significant figures.
- Using the method of Variation of Parameters, the form of the particular solution y, for the NHLDE 1 y"+3y'+ 2y = 1+e* A y =Ae*+Be2x P (B y =A+ Be P A y = P 1+e* -2x D y =Ae + Be P x-10 15 Let/be the function whose graph is shown. Select each of the following intervals, it any. on which/ is continuous O(5, 15] O (5, 15) (10. 15) O (5, 10] O (5, 10) O (10, 15] Tartbool(c) Determine the value of k if p(x) is a probability mass function. k(x – 1) , x= 3,4,5 , elsewhere f(x) = Hence find p(x < 5).
- Run the Bellman-Ford algorithm on the directed graph of the following graph (Figure 24.4), using vertex z as the source. In each pass, relax edges in the same order as in the figure, and show the d and T values after each pass. 5 00 -2 00 6. S 8 7 00• Use the definition of Laplace transform to find L{f (t)} for the given f (t). a) f(t) = cos2(t – n) %D b) f(t) = 2 sin 3t cos 3t 2 c) f(t) = sinh t 3To the data presented in the table, using the logarithmic transformation of the data y=a2.in which option are the coefficients a2 and b2, which will be found when the expression x^b2 is made up, given correctly? Process the decimal part with at least three digits. 17 32 48 56 71 _y. 35 70 135 188 277 Lütfen birini seçin: O a. a2-0.521 b₂=1.454 O b. a₂=-0.324 b₂=1.805 O c. a2=0.435 b2=1.876 O d. a2-0.147 b2=1.955 b₂=1.178 O e. a2=0.507