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Pick six binary labeled points in the plane that are linearly seperable by a hyperplane(line). Starting with a hyperplane that does not separate the points, use the perceptron algorithm to find a separating hyperplane. Did the algorithm find the maximum margin separating hyperplane.
Reduce the equation to one of the standard forms, classify the surface, and sketch it.
Automorphism of a Group, Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.
Determine the number of groups under a given condition and How many license plates can a state have if each license plate has 2 letters followed by 4 digits, if the first digit cannot be zero?
Demand for pools. Tropical Pools sells an aboveground model for p dollars each. The monthly revenue for this model is given by the formula R(p)=0.08p2 +300p.
Find the product of all the three zero of the second polynomial
Let f:R->R be a function that satisfies f(x+y) = f(x)+f(y) for all x,y in R. Suppose that f is continuous on R and that f(1)=k. Prove that f(x)=kx for all x in R.
NCTM math standards to include learning goals & objectives, a lesson plan to include differentiation of instruction to address the diverse needs of students and problem solving strategies plus informal and formal assessments that align with object..
Problems Involving a Binomial Distribution About 30% of adults in United States have college degree.
Let A be an n × n matrix with eigen values 1, 2, · · · , n. Prove there are (2 n )n! Different matrix S with the property that the length of each column vector of S is 2 such that (S -1 )AS is diagonal.
Find the mean, median and standard deviation.
You select a random sample of n=14 families in your neighborhood and find the following family size (number of people in the family).
Compare your observed values of the test statistic in parts F & G. What conclusion do you reach from this comparison?
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