Consider a system with the input/output relationship y(t) =
x(t)cos(15πt).
(a) Is this system (i) linear, (ii) causal, (iii) stable, (iv)
memoryless, (v) time-invariant, and (vi) invertible. Justify each
answer with a clear mathematical argument. (b) Find the Fourier
Transform Y (f) of y(t) in terms of the transform X(f) of x(t).
Repeat problem (2) for the system with the input-output
relationship y(t) =R1 τ=0(1−τ)2x(t−τ)dτ.
(a) Current
I(t)=I0
cos(2πf·t) that
oscillates with frequency f.
(b) Current
I(t)=I0e−t/τ
that decays in time with time constant τ.
Questions will be related to the currents with amplitude
I0=1.5 A running in the copper
(resistivity ρ= 1.7 10-8 Ω·m) wire
of diameter d=3 mm and length
l=0.68 m.
How much energy
Wa is dissipated in
the wire via Joule heating during one period of current
oscillations for frequency f=50.8 Hz?:
Wa= ____ mJ.
With the oscillating current, the amount of...
Please write a VBA code to solve the solution for below
non-linear equation by NewtonRaphson method with convergence
criteria e = 10 ^ -6, where index is your class index number. If
your index is odd number, please use initial trial x = -5, if your
index number is even number, please use initial trial x = 5. Return
your solution in a message box. ? = ? 2 ????? + 1 − ???(?) = 0
Index = 12
1. Use the data below to find the linear regression
equation that best represents the given data and predict
the revenue in 2013 (Copy data to Excel)
2. Then create Two new columns that represent the predication y
=mx+b for each year and percent of growth for each year =
(Revenue/Predication)*100
3. Use Excel to graph the linear model (x-axis years, y-axis
revenue) and the linear equation of best fit.
Year
Revenue
Predication
Percent of growth (%)
2001
3665
2002...
1. Use the data below to find the linear regression
equation that best represents the given data and predict
the revenue in 2013 (Copy data to Excel)
2. Then create Two new columns that represent the predication y
=mx+b for each year and percent of growth for each year =
(Revenue/Predication)*100
3. Use Excel to graph the linear model (x-axis years, y-axis
revenue) and the linear equation of best fit.
Year
Revenue
Predication
Percent of growth (%)
2001
3665
2002...
Given the following sequence: LHYEAIAKAWNDAF
a. Classify each amino acid into polar, non-polar, & charged
(at pH 7.0)–put a letter above each to show if polar (p), non-polar
(n), or charged (c).
b.What are the ionizable groups?
c.What is the order of the pKaʼs going from low to high pH
d.What is the isoelectric point (pl) of this peptide?
e.At the pHʼs of 3, 6, & 9, what is the charge state?
f.What type of secondary structure would this peptide...
The approximate Equation (6.73) is given below. T ~= 2e^(-2
kappa L)
(a) Use it to estimate the probability of a 1.9 eV electron
tunneling through a 6.6 eV high barrier of width 3.1 nm. T ~=
(b) Use it to estimate the probability of a 3.9 MeV α particle
tunneling through a uranium nucleus where the potential barrier is
19.2 MeV and 6.7 fm wide T ~=
(c) Discuss whether the approximation was valid for these two
cases. Explain.
If an SPL ( LINEAR EQUATION SYSTEM ) is known: Ax = b. A is a
matrix sized m × n and b is a vector sized m × 1, with the
component values of matrix A and vector b known. The x vector is n
× 1 and the component values are unknown. Explain how the possible
solution of SPL Ax = b.
i want answer for the question , and what he mean by (the
component values of...
A third-order homogeneous linear equation and three linearly
independent solutions are given below. Find a particular solution
satisfying the given initial conditions.
y(3)+2y''-y'-2y=0; y(0)=1, y'(0)=2, y''(0)=0,
y1=ex , y2=e-x,
y3=e-2x
Find the particular solution.
Using MATLAB, determine whether the system below are a)
linear/non-linear b) time-invariant/timevariant, c)
causal/noncausal, d) has memory/memoryless:
y(t) = x(t) + x(t -1)
Provide MATLAB code and graphs to show your work for the
linearity and time-invariance testing.