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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?
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle. What is the area of the largest possible Norman window with a perimeter of 25 feet?
this test results prompts a state school administrator to declare that the mean score for the state's eighth graders on the examination is more that 260. at a=0.04 is there enough evidence to support the administators claim?
How far did the messenger travel by land and how far by water?
Find the inverse of the function f. Describe the relationship between the two graphs.
Suppose that for a certain company C(x)=25 x+500,000 represents the total cost function and R(x)=75x represents the total revenue function. Find the total profit function and break even point.
find the distance between two ships from the word problem.from a lighthouse the lighthouse keeper sees two ships.nbsp
Verify that each of the following are equivalence relations on the plane R^2 (where R are real numbers) and describe the equivalence classes geometrically.
Fenced-In Land. A farmer has 100 yd of fencing. What are the dimensions of the largest rectangular pen that the farmer can enclose?
If its length is 2 feet longer then twice its width, what are the dimensions of the playing field?
A boat travels 12 miles upstream in the same time it takes to travel 16 miles downstream. What is the speed of the boat is still water?
Pick two data points predicted by the research model a(t) to construct a new exponential model b(t) for the number of cumulative AIDS cases. Discuss how the two models differ and explain the use of the word "relief".
How are the steps for solving equations and inequalities similar? How are the steps for solving equations and inequalities different? Give examples. You must do all parts of this question for credit.
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