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The solution is then. The sum is $S$ and the product is a maximum. Finding Numbers In Exercises $3-8, $ find two positive numbers that satisfy the given sum is $S$ and the product is a maximum. What is the maximum possible product for a set of numbers, given that they add to 10?
And s fact, I'll do that. Doubtnut is the perfect NEET and IIT JEE preparation App. Find two positive numbers satisfying the given sum is 120 and the product is a maximum. This is something I've been investigating on my own, based on a similar question I saw elsewhere: -. It has helped students get under AIR 100 in NEET & IIT JEE.
Now substitute the value of life from equation to such that P of X is equals to X times as minus X is equals to S X minus x. So positive numbers. To do that we calculate the derivative. That means the product is maximum, then X is equals to spy two. Create an account to get free access. Join MathsGee Student Support, where you get instant support from our AI, GaussTheBot and verified by human experts.
1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc. Now we have to maximize the product. So the derivative is going to be S -2 x. And we want that to equal zero. Doubtnut helps with homework, doubts and solutions to all the questions. This problem has been solved! The numbers must be real and positive, but [and this was not allowed in the other versions I saw] they do not need to be integers or even rational.
Now, product of these two numbers diluted by API is equals to X times Y. Now we want to maximize F of X. Answered step-by-step. Now the second derivative. The question things with application of derivatives. So to conclude the value obtained about we have b positive numbers mm hmm X-plus y by two and X plus by by two. Let this be a equation number two. There is no restriction on how many or how few numbers must be used, just that they must have a collective sum of 10.
Get PDF and video solutions of IIT-JEE Mains & Advanced previous year papers, NEET previous year papers, NCERT books for classes 6 to 12, CBSE, Pathfinder Publications, RD Sharma, RS Aggarwal, Manohar Ray, Cengage books for boards and competitive exams. This implies that X is equals to S by two. According to the question the thumb is denoted by S. That is expressed by Let us name this as equation one now isolate the value of Y. Y is equals two S minus X. So we now have a one-variable function. By clicking Sign up you accept Numerade's Terms of Service and Privacy Policy.
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