WebbIf n mod 4 = 1 then the minimum sum is + 1 = 1. If n mod 4 = 2 then the minimum sum is − 1 + 2 = 1. If n mod 4 = 3 then the minimum sum is − 1 − 2 + 3 = 0. To prove that 1 is in fact the minimum sum in the cases n mod 4 = 1, 2 note that each sign change of one term k modifies the sum by 2 k i.e. an even number, so it preserves the parity ... WebbModified 7 years, 5 months ago. Viewed 8k times. 2. Find the sum of the maximum and minimum of the curvature of the ellipse: 9 ( x − 1) 2 + y 2 = 9. Hint (Use the parametrization x ( t) = 1 + cos ( t)) Tried to use parametrization like that, but then get stuck trying to find the curvature function and max/minimizing it. multivariable-calculus.

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WebbThe product is 194 and the sum is a minimum. (smaller value) (larger value) Find two positive numbers satisfying the given requirements. The product is 194 and the sum is a … WebbWe can use the product-to-sum formulas, which express products of trigonometric functions as sums. Let’s investigate the cosine identity first and then the sine identity. … how to remove certain values in r

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WebbOptimization WebbFind two positive numbers that satisfy the given requirements.The product is 147 and the sum of the first number plus three times the second number is a minimum. calculus Find two positive numbers whose product is 100 100 and whose sum is a minimum. calculus Find the points on the ellipse 4x^2+y^2=4 that are farthest away from the point (1,0). WebbOkay, so the fourth root of 144 is the square root of 12. So that would be plus or minus square root of 12. And if we were to clean that up a little bit more, this is really X is equal to plus or minus two square root three. Okay, so now the last thing we need to do is we need to verify that this in fact is the minimum and not a maximum. how to remove certificate from browser