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TiliK225 [7]
3 years ago
15

Two positive numbers x and y, with the maximum value 4, add up to 5. what is the difference between the maximum and minimum valu

e of the product x^2y^3.
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
6 0

Answer:

1023

Step-by-step explanation:

Positive numbers are numbers that are greater than 0.

As maximum value of numbers x and y is 4,

x\leq 4,y\leq 4      ....(i)

So,

x^2y^3\leq 4^2 4^3=1024

So, maximum value of the product x^2y^3 is 1024.

Also, its given that sum of numbers x and y is 5, so x+y=5   ...(ii)

On using equations (i) and (ii), we get

1\leq x,1\leq y

So,

1\leq x^2y^3

Therefore, minimum value of the product is 1.

Difference between the maximum and minimum value of the product =  maximum value of the product x^2y^3 - minimum value of the product

=1024 - 1 = 1023

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