A box is formed by cutting squares from the four corners of a sheet of paper and folding up the sides. Suppose the paper is 7"-wide by 9"-long.
a. Estimate the maximum volume for this box

b. What cutout length produces the maximum volume

Somebody once told me the world is gonna roll me

I ain't the sharpest tool in the shed

She was looking kind of dumb with her finger and her thumb

In the shape of an "L" on her forehead

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go

You'll never shine if you don't glow

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

[Verse 2]

It's a cool place, and they say it gets colder

You're bundled up now, wait 'til you get older

But the meteor men beg to differ

Judging by the hole in the satellite picture

The ice we skate is getting pretty thin

The water's getting warm so you might as well swim

My world's on fire, how 'bout yours?

That's the way I like it and I'll never get bored

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

All that glitters is gold

Only shooting stars break the mold

[Interlude]

Go for the moon

Go for the moon

Go for the moon

Go for the moon

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars

[Verse 3]

Somebody once asked, “could I spare some change for gas?

I need to get myself away from this place"

I said, "Yep, what a concept

I could use a little fuel myself and we could all use a little change"

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go (Go!)

You'll never shine if you don't glow

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

[Outro]

And all that glitters is gold

Only shooting stars break the moldSomebody once told me the world is gonna roll me

I ain't the sharpest tool in the shed

She was looking kind of dumb with her finger and her thumb

In the shape of an "L" on her forehead

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go

You'll never shine if you don't glow

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars break the mold

[Verse 2]

It's a cool place, and they say it gets colder

You're bundled up now, wait 'til you get older

But the meteor men beg to differ

Judging by the hole in the satellite picture

The ice we skate is getting pretty thin

The water's getting warm so you might as well swim

My world's on fire, how 'bout yours?

That's the way I like it and I'll never get bored

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

All that glitters is gold

Only shooting stars break the mold

[Interlude]

Go for the moon

Go for the moon

Go for the moon

Go for the moon

[Chorus]

Hey now, you're an all star

Get your game on, go play

Hey now, you're a rock star

Get the show on, get paid

And all that glitters is gold

Only shooting stars

[Verse 3]

Somebody once asked, “could I spare some change for gas?

I need to get myself away from this place"

I said, "Yep, what a concept

I could use a little fuel myself and we could all use a little change"

[Pre-Chorus]

Well, the years start coming and they don't stop coming

Fed to the rules and I hit the ground running

Didn't make sense not to live for fun

Your brain gets smart but your head gets dumb

So much to do, so much to see

So what's wrong with taking the backstreets?

You'll never know if you don't go (Go!)

You'll never shine if you don't glow

29933333.33

step-by-step explanation:

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8