By far, the hardest take home so far. ¯\_(ツ)_/¯ Still only curved to 16 points, thanks to all the people who got caught cheating LOL

 

 

OK i completely fucked the original key, so i recreated it at the bottom of the page.

Oh yeah and btw you have to view this page on a computer/tablet

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Oops this red minus

sign should be a positive one

 

 

 

 

 

 

Some typos, i didn't change

the sign for B here.

 

should be

2x(-2-y)

so x=0, y=-2

 

If you plug -2 into the

original equation, then

you see that

-28=1, which means

it is a asymptote

 

If you plug x=0 into the equation, then you get 2y^3+6y-1

Which if you graph it, it equals .165

 

 

 

 

This problem is

"unsolvable" in the

fact that you get 2

different answers

depending on how you

solve it

 

You plug in (dy/dx) as

-1 because the slope

is -1, and y=-x also

because of the slope

 

 

so, for 1c i think you should write down both ways of solving it.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

There's a typo here, i didn't change

the signs of the y^2+y=6

 

however the answer is correct

 

 

 

 

 

 

 

 

The "2" here should be negative

y-2=-2(x-1)

 

 

To have a vertical tangent

the denominator must

equal zero, so take the

denominator and set it

to zero and solve for Y

 

Then, plug that into the

original equation

and solve for X

 

 

 

 

 

 

 

 

 

Here are the

actual answers

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                                                                                                                                             The first -9 is positive