ex1.10 1 Ex. 1.10. Given 1 find A6, exp(At) and sin(At) 1 Ex. 1.10. Given 1 find A6, exp(At) and sin(At)
Find a differential operator that annihilates the given function. x8 ex - x sin 7x+x 12 A differential operator that annihilates x ex - x sin 7x+x? 12 13 is D (Type the lowest-order annihilator that contains the minimum number of terms. Type your answer in factored or expanded form.)
(a) Given the following signals: z(t) = { ={ex? exp(-kt) t> 0 0 t<0 sin(Ot) g(t) = **(t) art (i) Explain what the symbol * means in this context and write down the expression for the function y(t). (ii) Compute the energy of the signal x(t) in the time domain. (iii) Using the formulae 1 F[2(t)]() = k + 2ris F(II(t)](s) = sinc(s) It > 1/2 II(t) It < 1/2 sin(TTS) sinc(s) ITS compute the energy of the signal y(t)...
Need step by step solution, thanks! Find matrix functions exp(At), sin(At) and cos(At) if A is 2 Find matrix functions exp(At), sin(At) and cos(At) if A is 2
Given -1 1 A= = 20 0 find elementary matrices E1, ..., Ex such that Ex---E, E, A = 13.
(USING MATLAB) Given two differential equations X= sin(t)(exp(cos(t))-2cos(4t)+sin(t/12)^5) And Y = cos(t)(exp(cos(t))-2cos(4t)+sin(t/12)^5) where 0<t<20pi is a vector of 5000 points created by using (linspace) command : Write script to plot X and Y with red color ?
Find the derivative 1.) X(+) = cos(+²) 2.) X(t) = cos(( exp (-+)7²) 3.) × (t) = cos(-exp (+²) 4.) X(t) = cos (exp(+²)) sin(t) s.) X(t) = cos (cos(+)) exp(-t)
Using Cayley-Hamilton theorem, find A6 if A =[2 1] [5 -2]
Question 5 Given arcsin (9/20) find cos () Question 6 Given sin 4x+sin 6x=0 Find the solution that corresponds to the positive k=1 solution for the sine part. Question 7 Given sin 5x-sin 4-0 MacBook Air
Ex. Set up an integral to find the area of one petal of r = 2 sin 30. Sketch the graph. Set up an integral to find the area of one petal of r-4cos 20. Sketch the graph. Ex. y
1. Suppose that the joint density of X and Y is given by exp(-y) (1- exp(-x)), if 0 S y,0 syS oo exp(-x) (1- exp(-y)), if 0SyS ,0 oo (e,y)exp(-y) Then . The marginal density of X (and also that of Y), ·The conditional density of Y given X = x and vice versa, Cov(X, Y) . Are X and Y independent? Explain with proper justification.