calculate pi and the ratw of convergence Given: Calculare T and rate of canegunce Given: where...
Find the correlation between the two given signals. x(t)=sin(2pi*t) pi(t-0.5) y(t)=cos(2pi*t) pi(t-0.5) pi(t) is the unit rectangular pulse Please write legibly and explain
The current in a household appliance varies according to the equation A=5 sin120 pi t Where A is the current in amperes, and t is the time in seconds. At what instantaneous rate is the current changing at t=1 second to the nearest ampere per second?
Given a sample rate of fs = 2000, calculate x[n] = x(nT) and X(ejω). xt = cos(200*pi*t) mt = cos(1000*pi*t)
• Consider a stock index constructed from two stocks, I(t) = pi(t) + 2p2(t), where pi(t) and p2(t) are the prices of the two stocks at time t, and I(t) is the value of the index at t. • Also consider a futures contract written on the index: If you buy one contract, you receive from the seller the amount I(T), which is the value of the index at time T. If you sell one contract, you pay to the...
Calculate the Fourier Series coefficients of x(t) = cos(2*pi*1*t) + 2*sin(2*pi*4*t). Based on your results which set of FS coefficients corresponding to the positive side of the spectra is correct. a0=0, a1=1/2, a2=1/j, a3 = 0 a1=1, a2=2, a3 = 0 a1=1/2j, a2=1/2, a3 = 0 a1=1/2, a2=2/2j, a3 = 0
Given the following cash flows for a capital project, calculate the Payback period, NPV, PI, IRR, and MIRR. The required rate of return is 8 percent. Year CF 0 $(50,000.00) 1 $15,000.00 2 $15,000.00 3 $15,000.00 4 $15,000.00 5 $5,000.00
In each of the following, use the gometrie series Σ's 28 , where-l < x < 1, to express the given function as a power series and indicate the interval of convergence. 1n(1 +r')= Σ T- ア=Σ 2)2
In each of the following, use the gometrie series Σ's 28 , where-l
Write a Matlab code to generate the signal y(t)=10*(cos(2*pi*f1*t)+ cos(2*pi*f2*t)+ cos(2*pi*f3*t)), where f1=500 Hz, f2=750 Hz and f3=1000 Hz. Plot the signal in time domain. Sketch the Fourier transform of the signal with appropriately generating frequency axis. Apply an appropriate filter to y(t) so that signal part with frequency f1 can be extracted. Sketch the Fourier transform of the extracted signal. Apply an appropriate filter to y(t) so that signal part with frequency f2 can be extracted. Sketch the Fourier...
You are given the amount function, A(t)=10⋅(1.06)^t, where t is the number of years. Let i^(4) be the nominal effective interest rate compounded quarterly, d^(12) be the nominal discount rate compounded monthly and δ be the annual constant force of interest. Calculate 10i(4)+20d(12)+30δ. A.1.99 B.2.43 C.2.89 D.3.00 E.3.50
where a discount rate is not given, what rate do i use to calculate discounted payback period