for u=<2,1,-3> and v=<1,0,2>,
a) find the angle between u and v
b) use the formula proj_a b=((a•b)/|b|^2)b to find vector
projection of v onto u
c) sketch vectors u, v, and the projection found with only using
arrows
d) find the area of the parallelogram determined by u and v
A) Describe an AR and an MA model. How are they related?
(15)
B) Explain the Hoderick-Prescot filter. (15)
C) Explain how you would identify an appropriate ARIMA structure
for a time series model. (20)
*Bragg Scattering
What is the Bragg Scattering angle (i.e. the angle, in degrees,
between the incoming incident beam and the reflected beam) for
electrons scattered from a nickel crystal if their energy is 63 eV?
The spacing between Ni Bragg planes is 0.215 nm. Give your result
to 3 significant figures.
2. (a) Photoresist AZ-1450 has a contrast of 3.6 for i-line.
Calculate the CMTF.
(b) Using this photoresist and wavelength, determine the
minimum linewidth for the aligner with a spatial coherence of 0.5.
Assume the numerical aperture is 0.4. Show the details of your data
obtaining and calculation.