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|dw:1440636145968:dw|

|dw:1440636232302:dw|

volume changes with area and area changes with height

|dw:1440636504171:dw|

the volume formula would be

|dw:1440637090561:dw|

right?

yes read above by jim he found the expression for h then substitute in the formula for the volume

yes correct, the volume is s^2*h

What intervals should I use, My graph doesn't show it clearly.

is it 4000

OMG, thank you so much! ... DO you think you can help me with another one?

sure

provide one the two positive integers whose sum is 200 and whose product is a product

what do you mean the product is a product?

like if the two integers are multiplied, that equals to the maximun value

the constant is not prime?

I don't know to be honest

yes

`integers whose sum is 200`
x+y = 200
solve for y to get
y = 200-x

the product is the result of multiplying
x*y = x*(200-x) = 200x - x^2

the goal is to max out 200x - x^2

you can graph 200x - x^2 or complete the square to find the vertex

I got (100, 10000)

@jim_thompson5910 so the answer is 10000

so the two numbers are 100 and 100
100+100 = 200
100*100 = 10,000
the max product is indeed 10,000

I think they are asking for one of the two numbers and not the max product

okay, thank you

sure thing

@jim_thompson5910 thanks

you're welcome