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The owner of a used tire store wants to construct a fence to enclose a rectangular outdoor storage area by using part of one side of the store, which is 220 feet long, as one of the sides of the enclosed area. There are 410 feet of fencing available for the other three sides of the enclosure. Find the dimensions of the outdoor enclosure with the most area.
Show that the real part of the function z^(1/2) is always positive. Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.
In a group of 97 students, the number taking English is twice the number of those taking Math. 53 students are taking one of these subjects and 15 are taking neither. How many students are taking math? How many are taking English?
Find the volume of the solid in the first octant bounded by the surfaces of z = 1 - y^2, y = 2, and x = 3.
List the coefficient coding for the given contrasts
Find the center of mass of the lamina bounded by y = x^2 and y=2x and the density is ?(x,y) = xy.
How much variation does knowledge of Age Score
Suppose that a box has a volume of 100 cubic centimeters and that the area of the bottom of the box is 50 square centimeters. Find the height of the box. Show all the steps for solving this question.
A ranger in fire tower A spots a fire at a direction of 295 degrees. A ranger in fire tower B, located 45 miles at a direction of 45 degrees from tower A, spots the same fire at direction of 255 degrees.
In a game show, a contestant is given a choice of 3 curtains. Behind one curtain is a prize, but the other two curtains conceal a sign saying "Sorry, you lose!"
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.
If there are 50 pieces of data which range from 0 to 100: With a mean of 60 and Root mean square deviation of 8 show that only 1 piece of data can equal 100
Find and solve a recurrence relation for the number of ways to make a pile of n chips using red, white, and blue chips and such that no two red chips are together.
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