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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.
Given three points, there is one line that can be drawn through them if the points are colinear. If the three points are noncolinear,there are three lines that can be drawn through pairs of points.
A certain club is collecting money for a charity. A local company has agreed to contribute $1 to the charity for every $3 collected by the club. How much money must the club collect in order for the total amount for the charity,
Please show a detailed solution to this problem. Pleas show the curve and vectors together in a sketch. Find the unit vectors that are tangent and normal to the curve at the given point:
Odds and probability, A casino states that the house odds (note: house odds are the odds that the gambler will lose) for a certain game are 23 to 2.
Describe objects that have each of the following types of symmetry.
Suppose f and g are functions analytic in a domain D. If z_n is a bounded sequence of distinct points in D and if f(z_n) = g(z_n) for all n, show that f(z) = g(z) for all z in D.
The perimeter of a regulation singles tennis court is 210 feet and the length is 3 feet less than three times the width. What are the dimensions of the court?
What is the least amount of wrapping paper that is needed to wrap a gift box that is 2 feet by 1 foot by 3 feet?
Let P : C -> R be defined by P(z) = Re z; show that P is an open map but it is not a closed map. ( Hint: Consider the set F = { z : Imz = ( Re z)^-1 and Re z doesn't equal to 0}.) Please explain every step and justify.
Compute the derivative of the function using the difference quotient and find the equation of the line that is tangent to its curve for x=c
If the fund earns interest at the rate of 10% year compounded quarterly, determine the size of each (equal) quarterly installment that should be deposited in the fund.
What's the difference between scalar multiplication and matrix multiplication? What would be an example of the two? Indicate whether the matrix is in row-reduced form.
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