Solve the following by setting up the proper equations to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). Let x represent length and y represent width. Enter your answer in (x, y) format. The length of a rectangle is 3 times the width. The difference between the length and width is 14 feet. Determine the rectangle's length and width.

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Q: Define a digit to be an element of the set (0, 1, 2, 3, 4, 5, 6, 7, 8, 9) Show that any real number…

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Q: 2. Let k be an odd number whose last digit is not 5. Show that the last digit of k4

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Q: 21. y" - 4y' + 3y = 0; y(0) = 7, y'(0) = 1

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Q: Prove that if n is an odd integer then [17²] = ¹²+³ 4 Find all solutions to [x] + [x] = 2x

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Q: 1. Evaluate: 138-142 +2154

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Q: Solve the given initial-value problem. d²x dt² +w²x = Fo sin wt, x(0) = 0, x'(0) = 0

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Q: 22.3 Let E= Q(√2,√√3, √5). Find [E: Q] and a basis for E over Q.

A: Let .Find  and find a basis for  over .