Find two positive numbers whose product is 64
WebApr 7, 2024 · Step-by-step explanation: Let x and y be the two positive numbers. - Their product is 192: x*y = 192. - the sum of the first plus 3 times the second is a minimum: x + 3y. From the first equation, y = 192/x. Substitute that into the second equation: x + 3y = x + 3 (192/x) = x + 576/x. Now take the first derivative, set it to zero, and solve for x: WebApr 15, 2013 · Find two positive numbers whose product is 100 and their sum is a minimum.
Find two positive numbers whose product is 64
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WebFind two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the same number, enter it into both blanks.) (smaller number) (larger number) Need Help? Wich Submit Answer M 2. 1-/2 Points) DETAILS SESSCALCET24.5.005. What is the maximum vertical distance between the line y = x + 20 and WebJul 21, 2015 · The two obtained positive numbers are 8,8. Given: The product of the two positive numbers is 64. The sum is minimum. Explanation: Let the two positive numbers be and . According to the question, Product of two numbers be . determine in terms of . The sum of two positive numbers, say . Now, differentiate sum with respect to .
Web$\begingroup$ You can see the motivation for the answers below by drawing the graph of both functions see that they intercept. Having that visualization the algebra is obvious. Once you have the algebra you can see that you are merely "constraining" one … WebMay 20, 2024 · Optimization
Web$\begingroup$ You can see the motivation for the answers below by drawing the graph of both functions see that they intercept. Having that visualization the algebra is obvious. … WebSep 5, 2011 · For your first question that you put as title, Let the two numbers be represented by a and b. Their product is 64, so: ab = 64. Their sum is a minimum. So, …
WebThis problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. Question: Find two positive numbers whose … gumby treeWebSep 5, 2011 · For your first question that you put as title, Let the two numbers be represented by a and b. Their product is 64, so: ab = 64. Their sum is a minimum. So, the sum S of a and b, S = a + b should be minimum. To get the minimum, you have to find the derivative of S (or find the shape of the graph of S as a and b vary. S = a + b. gumby truckWebNov 6, 2016 · Learn how to maximize the product of 2 numbers given a constraint in this free math video tutorial by Mario's Math Tutoring. This problem involves working wi... gumby twitterWebNov 16, 2024 · Find two positive numbers whose sum is 300 and whose product is a maximum. Solution. Find two positive numbers whose product is 750 and for which … gumby travel cupWebJul 21, 2015 · Product of two numbers be xy=64. According to question xy=64. ∴y= 64/x sum of two positive numbers z=x+y. s=x+ differentiate with respect to x = (x+) = (1-) .... gumby tv charactersWebA power of two is a number of the form 2 n where n is an integer, that is, the result of exponentiation with number two as the base and integer n as the exponent.. In a context where only integers are considered, n is restricted to non-negative values, so there are 1, 2, and 2 multiplied by itself a certain number of times. The first ten powers of 2 for non … bowling antibes tarifWebQ: Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the… (If both values are the… A: first we find factors of 64 2 64 2 32 2 16 2 8 2 4 2 2 1 therefore 64= 2 x32 and… bowling antibes horaires