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a norman window has the shape of a rectangle surmounted by a semicirlce of diameter equal to the width of the rectangle. if the perimeter of the window is 20 feet, what dimensions will admit the most light?
a laboratory designed a radio telescope with 280 feet and maximum depth of 42 feet. The graph depicts a cross section of this telescope. Fine the equation of the parabola.
If the account earns interest at the rate of 7%/year compounded quarterly, how much will Luis have in his account at the time of his retirement?
Use the approximate operation counts n2 /2 for back substitution and n3 /3 for elimination to estimate how long it will take to do a complete Gaussian elimination of this size. Round your answer to the nearest second.
Let G = UT (n,F) be the set of the upper triangular n x n matrices with entries in a field F with p elements and 1's on the diagonal. The operation in G is matrix multiplication.
Hypothesis test for two differences between means
He has invented a counter for his bike, which counts the number of revolutions the wheels make. One day the counter shows 330 revolutions. how far has billy cycled?
If 1200cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
determine the height and velocity of the rocket at the moment when the fuel is exhausted. B. at what time does the rocket reach it's maximum height, and what is that height. C. at what time does the rocket land.
The dimensions of a rectangle are such that its length is 9 in. more than its width. If the length were decreased by 4 in., the area would be increased by 110 in.^2. What are the length and width of the rectangle?
In an election between two candidates, 470 votes were cast. If the winner received 320 more votes than the loser, how many votes did the loser receive?
The shortlist consists of 7 men and 3 women. Because all the shortlisted applicants are considered to be equally qualified, the names of two of them are drawnn, one after the other at random, to be called for an interview.
Prove that T is a vector space homomorphism. What value of a, b, c, d will T be an isomorphic or isomorphism?
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