Mathematics, 20.03.2020 13:05 consueloquintan1
Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p is a square. Let the sides of the rectangle be x and y and let f and g represent the area (A) and perimeter (p), respectively. Find the following. A = f(x, y) = Correct: Your answer is correct. p = g(x, y) = Correct: Your answer is correct. ∇f(x, y) = Correct: Your answer is correct. λ∇g = Correct: Your answer is correct. Then λ = 1 2 y = Correct: Your answer is correct. implies that x = Correct: Your answer is correct. . Therefore, the rectangle with maximum area is a square with side length
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Jada has a monthly budget for her cell phone bill. last month she spent 120% of her budget, and the bill was 60$. what is jada’s monthly budget
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Circle a has a diameter of 7 inches, a circumference of 21.98 inches, and an area of 38.465 square inches. the diameter of circle b is 6 inches, the circumference is 18.84 inches, and the area is 28.26 square inches. part a: using the formula for circumference, solve for the value of pi for each circle. (4 points) part b: use the formula for area and solve for the value of pi for each circle. (4 points)
Answers: 2
Use Lagrange multipliers to prove that the rectangle with maximum area that has a given perimeter p...
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