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Consider the 4 labeled points in the plane (-1,-1)(0,1)(1,-2)(1,2). Points above the x-axis have y-labels +1 and points below the x-axis have y-labels -1. Find the maximum margin separating hyperplane by solving the dual lagrangian constrained optimization problem. What is the value of the margin?
What is the probability that the mean annual snowfall during 40 randomly picked years will be between 105 inches and 112 inches?
Set up and solve using Management Scientist, Excel Solver, or an online LP solver. What are the values of X and Y at the optimal solution?
Probability that both circuits are defective, A factory worker places 93 newly created circuits on a shelf to be checked for quality. Of these, 8 will not work correctly. Suppose that she is asked to randomly select two circuits
Indicate whether each system is independent, inconsistent or dependent
Simple linear regression equation
Determine the dimensions of largest possible area of a rectangular garden - What are the dlmensions area if $1200 is to be spent for fencing material?
Set up different integrals to find the mass of the solid bounded by the equations z=8-2x, z=0, y=0, y=3 and x=0. the density of the solid at (x,y,z) is d(x,y,z)=kx, k>0. evaluate ONE of the integrals.
Recall that S_N (f)(x)= sum (n=-N to N) c_n e^{inx}= 1/2pi integral (from -pi to pi) f(x-t)sin ((N+1/2)t)/sin(t/2) dt
Give an example of an exponential function. Find this exponential function's inverse, which will be a logarithmic function. Plot the graph of both the functions.
Also, if the variables in an equation were reversed, what would happen to the graph of the equation? This was the example I was given, how would the graph of y = x² relate to the graph of x = y²?
Determine the slope of the tangent to each of the following curves:
A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1. Determine the other x-intercept
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