Take Class 12 Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Search in
Find two positive numbers x and y such that their sum is 35 and the product x2y5 is a maximum
Asked by Siddhant Last Modified
Answer 
Harshit Bhardwaj
Let one number be x. Then, the other number is y = (35 − x).
Let P(x) = x2y5. Then, we have:
x = 0, x = 35, x = 10
When x = 35,
and y = 35 − 35 = 0. This will make the product x2y5 equal to 0.
When x = 0, y = 35 − 0 = 35 and the product x2y2 will be 0.
∴ x = 0 and x = 35 cannot be the possible values of x.
When x = 10, we have:
∴ By second derivative test, P(x) will be the maximum when x = 10 and y = 35 − 10 = 25.
Hence, the required numbers are 10 and 25.
read less Abdul Shameeh Ap
Passionate Physics teacher (NIT Calicut graduate) with more than 4 years of teaching experience
Lourembam Devraj Singh
Science and Arts Home Tutor
X+Y =35
So, X= 35 - Y ... ..... .. Eqn 1
Product of X and Y = X x Y= (35-Y) Y = 35Y - Y^2
For product of them to be maximum, their derivative should be equated to zero.
Thus, d/dy (35y -y^2) = 0
Or, 35 - 2y= 0
Therefore, y=35/2= 17.5
And x = 35-y= 17.5
read lessView 1 more Answers
Related Questions
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRecommended Articles
Meet Sandhya R, a B.Sc tutor from Bangalore
Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...
Read full article >
Meet Urmila, an MBBS tutor from Bangalore
Urmila is a passionate teacher with over 8 years of experience in teaching. She is currently pursuing her Ph. D. She provides classes for Class 11, Class 12, MBBS and Medical tuition. Urmila began her career in teaching long before she became a teacher. She used to provide classes for foreign national students in her college...
Read full article >
Meet Raghunandan.G.H, a B. Tech Tutor from...
Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...
Read full article >
Meet Mohammad Wazid, a skilled trainer for...
Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...
Read full article >
Looking for Class 12 Tuition ?
Learn from the Best Tutors on UrbanPro
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near youThe best tutors for Class 12 Tuition Classes are on UrbanPro
The best Tutors for Class 12 Tuition Classes are on UrbanPro
is
5
