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A rectanlgar playground is to be fenced off and divided into 2 by another fence parallel to one side of the playground. 480 feet of fencing is used. find the deminisons of the playground that maximizes the total enclosed area. what is the maximum area. what is the smaller deminsion.
Let A be a complex number and B a real number. Show that the equation |z|^2+Re(Az)+B=0 has a solution if and only if |A|^2 >= 4B. If this is so, show that the solutions set is a circle or a single point.
A restaurant offers an "appetizer-plate special" consisting of four selections from its list of appetizers. If there are more than 700 different possible appetizer-plate specials, what is the least possible number of appetizers?
Griselda budgets 45 per month before sales tax for clothes. How much will she spend on clothes each month if she is charged 6 sales tax?
Find the maximum rate of increase at P.
A sample random sample of sixty times resulted in a sample mean of eight & a sample standard deviation of fifteen. Compute 95 percent confidence interval for population mean.
At the 0.01 level of significance, test the claim that the mean reading times lour the lour age groups are equal.
A poster is to have an area of 180 in2 with 2 inch margins at the bottom and sides and a 7 inch margin at the top. What dimensions will give the largest printed area?
Show the mass as triple integral and solve the integral using spherical polar coordinate and Use the spherical coordinate integral to evaluate
Description of Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
Show that if f:A->R is Lipschitz then it is uniformly continuous on A. Is the converse statement true? Are all uniformly continuous functions necessarily Lipschitz?
A manufacturer finds that the total profit from producing and selling Q units of a product is given by the profit function:
Use the inverse of the co-efficient matrix to solve the equation.
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