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1 out of every ___ men will develop prostate cancer at some point in their life.

Car 1 is traveling at [a]ft/s with a mass of [b]slugs.  It impacts Car 2 which is traveling at [c]ft/s with a mass of [d]slugs.  If the coefficient of restitution is 0.25, what is the speed of Car 2 after the collision?  

Which of the following is true about generator itemsets?   

Why are closed itemsets often preferred over maximal itemsets in certain data mining applications? 

Which of the following is a filter method for feature selection?

Which of the following is NOT a common goal of feature selection?

What is the main difference between PCA and LDA? 

Extra Credit: Who was Knute Rockne? What sport and team was he affiliated with? (3 points)

Show that the Sturm-Liouville problem  { ϕ ″ + λ ϕ = 0 ,   0

Consider the boundary value problem involving Laplace’s equation in a semi-infinite slab { u x x + u y y = 0 , 0 0 , u ( 2 , y ) = 0 , y > 0 , u y ( x , 0 ) = 0 , 0 0 {“version”:”1.1″,”math”:”u(x,y)=A\cos(\omega x)e^{\omega y} + B\sin(\omega x)e^{\omega y} + C\cos(\omega x)e^{-\omega y} +D\sin(\omega x)e^{-\omega y},\ \omega >0″}where A, B, C, D{“version”:”1.1″,”math”:”A, B, C, D”} and ω{“version”:”1.1″,”math”:”ω”} are constants to be determined. Part (a): Find ALL values of ω{“version”:”1.1″,”math”:”ω”} that produce nonzero solution to the PDE and satisfies ALL the homogeneous BC. Also write their corresponding “eigenfunctions”. Part (b): Write a linear superposition of only the functions in the second answer box in part (a) above to use in part (c). Part (c): Apply the remaining nonhomogeneous BC to the answer you wrote in part (b) to find the function u(x,y){“version”:”1.1″,”math”:”u(x,y)”} that solves the full BVP. You must use the answer you wrote in part (b) above to get any credit here.