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Find two positive number x and y such that their sum is 35 and the product x^2y^5 is a maximum in this question put value of x in x^2y^5 from given condition then show that it is maximum

Posted by Ragini Yadav??? 4 years ago

CBSE > Class 12 > Mathematics

1 answers

Kush Mehra 4 years ago

Given: ……….(i) Let [From eq. (i)] ……….(ii) Now or or or or Now is rejected because according to question, is a positive number. Also is rejected because from eq. (i), = 35 – 35 = 0, but is positive. Therefore, is only the turning point. At , = By second derivative test, will be maximum at when . Therefore, the required numbers are 10 and 25.

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