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Mathematics 25 Online
OpenStudy (arianna1453):

I WILL FAN AND MEDAL (: I need some help with calculus questions.

OpenStudy (arianna1453):

Is this correct?

OpenStudy (arianna1453):

@Pawanyadav @welshfella

OpenStudy (arianna1453):

OpenStudy (pawanyadav):

Yes ,it is correct

OpenStudy (arianna1453):

Both or just the first one?

OpenStudy (pawanyadav):

First I'm checking 2

OpenStudy (arianna1453):

okay thank you.

OpenStudy (pawanyadav):

For second A is correct

OpenStudy (arianna1453):

okay, I knew it was 2x^2, just could figure out the signs

OpenStudy (pawanyadav):

Need explained

OpenStudy (arianna1453):

yes

OpenStudy (pawanyadav):

Let shorter side be x Then longer side=?

OpenStudy (arianna1453):

y?

OpenStudy (pawanyadav):

There are 4 side but along one longer side no need of fence due to river. So 3 sides left two short, one long

OpenStudy (pawanyadav):

So 2x+y=1800

OpenStudy (pawanyadav):

Right

OpenStudy (arianna1453):

im following

OpenStudy (pawanyadav):

Then area(f(x))=x*y =x*(1800-2x)

OpenStudy (pawanyadav):

As 2x+y=1800 y=1800-2x

OpenStudy (pawanyadav):

So area=1800x-2x^2

OpenStudy (arianna1453):

ohhhh, okay i see now. Makes sense!!

OpenStudy (arianna1453):

Do you mind explaining this?

OpenStudy (pawanyadav):

A box ,...han

OpenStudy (pawanyadav):

How many faced a box have

OpenStudy (arianna1453):

6

OpenStudy (pawanyadav):

Faces or surface..... tell

OpenStudy (arianna1453):

But with an open top there is only 5

OpenStudy (arianna1453):

4 faces, 2 surfaces

OpenStudy (pawanyadav):

Area of one face=?

OpenStudy (arianna1453):

No clue...

OpenStudy (pawanyadav):

If side of box be a let the box be cubic in shape

OpenStudy (arianna1453):

60cm^2? sorry, a little confused

OpenStudy (pawanyadav):

Correct

OpenStudy (arianna1453):

But it says to find the maximum volume of the box.

OpenStudy (pawanyadav):

So what is side of cube..

OpenStudy (arianna1453):

60cm^2

OpenStudy (pawanyadav):

Area=60=a^2 a=√60 where a is side

OpenStudy (pawanyadav):

So volume = a^3

OpenStudy (arianna1453):

so the square root of 60 is a.

OpenStudy (pawanyadav):

Yes , side

OpenStudy (arianna1453):

RIght. So from there im lost on how to take the square root of 60 ^3

OpenStudy (pawanyadav):

No volume =(√60)^3

OpenStudy (pawanyadav):

√60~8 cm

OpenStudy (arianna1453):

ugh. im so confused.

OpenStudy (pawanyadav):

What is side =

OpenStudy (arianna1453):

lol. i feel like we are on repeat. the side equals 60cm^2 volume is LxWxH

OpenStudy (pawanyadav):

The area equals=60 cm^2 Its a cube so volume=a*a*a cm^3

OpenStudy (arianna1453):

oh my god. thats why. okay!

OpenStudy (arianna1453):

60 x 60 x 60 cm^3

OpenStudy (arianna1453):

ugh. i give up.

OpenStudy (arianna1453):

Eveyrthing i keep doing makes me end up with 216,000

OpenStudy (pawanyadav):

Area = (side)^2 You know that because every face of cubcube is a square

OpenStudy (arianna1453):

right

OpenStudy (pawanyadav):

And area=60

OpenStudy (pawanyadav):

Then what is side

OpenStudy (arianna1453):

ugh. so its not 60 x 60 x 60? cm^3

OpenStudy (arianna1453):

im obviously stupid.

OpenStudy (pawanyadav):

No you are very good

OpenStudy (pawanyadav):

I hope you understand @arianna1453

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