The product is 202 and the sum is a minimum
WebbThe SUMPRODUCT function returns the sum of the products of corresponding ranges or arrays.The default operation is multiplication, but addition, subtraction, and division are … WebbThe min-product of an array is equal to the minimum value in the array multiplied by the array's sum.. For example, the array [3,2,5] (minimum value is 2) has a min-product of 2 * …
The product is 202 and the sum is a minimum
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WebbThe problem is the following: Find y = max x ≥ 0 ( x ( 200 − x)) So differentiate the function f ( x) = x ( 200 − x) to get x = 100 as the one that maximizes it (since f ″ ( 100) = − 2. So, y = 100 2. Share Cite answered May 31, 2014 at 14:47 Samrat Mukhopadhyay 16.1k 29 53 Add a comment 1 For positive real a, b a + b 2 ≥ a b a b ≤ ( a + b) 2 4 WebbIs minimized. First thing that we can do here is get Y. In terms of X. By Dividing that first equation both sides by X. So we can see that. Why is going to equal 192 over X. Then we …
Webb7 nov. 2024 · Calculate X = sumArr / n where n is the number of elements in the array. Now, in order to exceed the sum of the original array, every element of the new array has to be … WebbSimplify the Product-Of-Sums Boolean expression below, providing a result in SOP form. Solution: This looks like a repeat of the last problem. It is except that we ask for a Sum …
WebbThis video shows how to find two numbers given a difference and whose product is a minimum. Webb25 aug. 2024 · Find two positive numbers whose product is 20 and their sum is minimum. applications of differential calculus class-12 1 Answer +1 vote answered Aug 25, 2024 by Navin01 (51.2k points) selected Aug 27, 2024 by Aryan01 Best answer Let the two number be x, (20/x) Their sum = x + (20/x) To get the minimum sum But x is positive (given)
WebbSetting the first derivative equals 0 yields. d d x ( 200 x − x 2) = 0 200 − 2 x = 0 2 x = 200 x = 100. Check the second derivative. d 2 d x 2 ( 200 x − x 2) = − 2. Since the second …
WebbMethod 2: Derivative Method. Let the two numbers be x and y. The sum of them is s. x + y = s. Let y be represented by x. y = s – x. Thus, the product of these two numbers is. P = xy … sonic frsWebb3 apr. 2024 · Observe that the sum of squares of two numbers is sum of two positive numbers, one of whom is a constant i.e. #200# and other #2(x-10)^2# , which can … sonic furroWebb9 juli 2024 · Find two positive numbers satisfying the given requirements. Last updated: 7/9/2024. Find two positive numbers satisfying the given requirements. The product is … sonic gacha ochttp://math.utep.edu/faculty/tuesdayj/math1411/1411ch3sec7ppt.pdf small house addition plansWebbThe product of the numbers is 2 10. So the value of Y is equal to 2 10 by X. Let us define a function effects which is the sum of these two numbers X plus Y. So x plus 2 10 bikes. … sonic fundraising cardsWebbFind two positive numbers that satisfy the given requirements. -The sum is S and the product is a maximum. Find two positive numbers that satisfy the given … sonic funkinWebbAnswer: xy = 1200 Minimize x + 3y. y = 1200 / x x + 3y = x + 3600 / x = f(x) f’(x) = 1 - 3600 / x^2 = 0 3600 / x^2 = 1 x^2 = 3600 x = 60 y = 1200 / 60 = 20 f’’(x) = 7200 / x^3 which is … sonic fundraising opportunities