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The width of a rectangular swimming pool is 74 feet. If the perimeter is 328 feet, what is the area of the pool?
A trapezoid with bases 4 m and 8 m is partially submerged vertically in water so that the top is 1 m above the surface and the bottom is 1 m below the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate..
Let phi : R^2 --> R be a function given by phi(x,y) = x^3 + xy + y^3 +1 For which points p =(0,0) , p=(1/3,1/3), p =(-1/3,-1/3) is the subset phi^-1 ( phi(p)) an imbedded sub-manifold of R^2.
Use the Empirical Rule to find what two values 99.7% of the data will fall between for a data set with a mean of 287 and standard deviation of 14.
The perimeter of a rectangular lot is 56 meters. The length exceeds the width by 12 meters. Find the length of the lot.
What is the probability that one is green and the other is blue? A jar contains 8 red marbles, 9 blue marbles, and 6 green marbles
In an election between two candidates, 480 votes were cast. If the winner recieved 340 more votes than the loser, how many votes did the winner recieve?
Formulate a mathematical program that can be used to determine where the "hub" should be located in the plane. Clearly define your decision variables, objective and constraints
Center of Mass of 3D Pyramid, Finding the center of mass of a square-based 3D pyramid is usually done in calculus, but our professor wants us to work it out in algebra.
Write a method to calculate the area of a circle. Return the area and write a method to calculate the circumference of a circle.
What is the claim? Compute the critical value for a=0.05, compute the test value. Is there sufficient evidence to support he claim?
In spring 2006 the average monthly rent was $1,355, an increase of 3.6percent from 2005. What was the average monthly rent in 2005.
Are closures and interiors of connected sets always connected? (Look at subsets of R2).
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