Math, asked by kelby09dragon, 5 months ago

can someone help me with my assignment

Find two numbers whose sum is a, if the product of the square of one by the cube of the other is maximum.

Answers

Answered by sharmaseema2627
1

Answer:

Let the ture positive numbers be x,(x,y>0)

x+y=20 - Given

We need to maximise x2y3

x=20−y

f(y)=y3(20−y)2

for minimum 

f′(y)=0

3y2(20−y)2+y32(20−y)(−1)=0

3y2(20−y)2−2y3(20−y)=0

y2(20−y)(3(20−y)−2y)=0

60−3y−2y=0                   y=0&y=20

y=12                               if y=20 then x=0 which does not 

x=8                                    make the x2y3 maximum

Step-by-step explanation:

hope this will help

Similar questions