What is the period of this function?
Period of above given function is 3sec because after every 3 sec Graph repeat same pattern..
What is the period of this function? 4 2 0 2 432101234 [w] (1)xu0 nis od
Consider the function f(x) with period 4 which has f(x) = 1, -2<< -1, 0, -1<x< 1, -1, 1<x< 2. a) Sketch the function f(x) in the interval (-2,2] b) Calculate the Fourier Series for f(x). Circle your answer. c) What values does the series converge at the points x=-1 and x=1. Circle your answer.
NIS 4) The joint pdf of X and Y is 1, 0<x<1, 0<y< 2x, fx,8(8,y) = { 0, otherwise. otherwise. or 1 (Note: This pdf is positive (having the value 1) on a triangular region in the first quadrant having area 1.) Give the cdf of V = min{X, Y}. x
реттеу 0 x<-1 2 -1<x<0 fx) -X + 2 0<x<1 0 X>1 The coefficient 4 of Fourier integral representation associated with the above given function can be computed as sin w O A3 + 1 - COSW 2 TW TW COSW OB W sin w Ос 2 TW sin w 1 + COSW OD 3 TW TW COSW sin OE TW
40 + 3 k=400 W r-30cm a = 350 Nis/m x 10) = 2 cm. M= 40 kg x(0) = 1.5mls ma dokg (A) Find the response xlt).
2. Consider a simple three period model, period 0, period 1, period 2. A company is considering whether to invest in a low-carbon technology. The technology investment can take place in either period 0 or period 1, but not in priod 2. The cost of the technology is: I-$100, which is the same whether the investment takes place in period 0 or period 1. If installed, the technology will generate a one-time return in the following period; the magnitude of...
Consider an individual with the following utility function u(W) = W^(1/4) and u(W) = W^(1/2) Which of the utility functions makes the individual more risk Averse (in relative sense)? Which of the utility functions makes the individual more Prudent? Why or Why not?
Problem #5: Expand the following function in a Fourier series of period 4. fx5x27x, 0 < x < 4 Using notation similar to Problem # 2 above, (a) Find the value of co. (b) Find the function g1(n, x). (c) Find the function g(n, x).
Problem #5: Expand the following function in a Fourier series of period 4. fx5x27x, 0
Question 3 [10 marks Let W Then the p.d.f. 1 fw (w) 2"/21 (n/2) exp(-w/2) w3-1, w>0. and the c.d.f. is denoted as Fw (w) (a) Show that 0, n > 0, and (i) The function fw(w) is a p.d.f. (i.e., that fw(w) 2 0 for w Jo fw(w)dw 1). (ii) The mode of W is n - 2 for n > 2. (b) As n oo, W becomes normally distributed with mean n and variance 2n. This has led...
Now, let us consider that the forcing function is not zero anymore, i.e. let us consider the causal system described by 0)2 (0)1 4. Derive a difference equation model of (2) with sampling period T
Now, let us consider that the forcing function is not zero anymore, i.e. let us consider the causal system described by 0)2 (0)1 4. Derive a difference equation model of (2) with sampling period T
2 = -4 and x3 = 0, with p = 1 and W = span{x1, X2, X3}. 4) Let x1 = -2, X2 3 (a) W is a subspace of R". What is n? (b) Find a basis for W. (c) Isp EW? (d) Give a geometric description of W.