Calculus help.

[Turbo3000]

I haven't had any mathematics in over two years. Need some help with a couple of questions.

1)

I have lines Y=(1/2)(x^2) and y=|x|, need to find the area bound by them.

How would I take the anti-derivative of absolute value of x?

And when I set them equal to each other to find the intersection point, what do I do with the absolute value in that part?

2)

Lines e^x=y^3 and y=2

This one I just don't get. How would I set those two equal to each other?

End up with y=cube root(e^x) for the first one, but that just doesn't look correct to me, I have to be missing a step.

[The_Grinder]

To think I aced this shit in high school, and I don't even know what any of that means which you just posted. For calculus cant you put everything into a graphing calculator and get the answer from there?

[dna9488]

Before you do any calculas problems, I highly recommend you get a program called DERIVE. Its a program that does the math for you. Very helpful for when i took it.

Anyway, for number 1, you graph the two functions, and see where they are continuous. This is an integration problem.
From the graph, i saw the area is between x= -2, x=0 AND x=0, x=2

it hard to explain, sorry, but i here are a few graphs and and the answer. I basically used the x points as the Definte Integerals and added them.

[dna9488]

For number 2 bro, what is the question asking????

[Turbo3000]

To think I aced this shit in high school, and I don't even know what any of that means which you just posted. For calculus cant you put everything into a graphing calculator and get the answer from there?

Yeah I can graph, but I need to show the set up and how exactly I arrived at the point of intersection by setting them equal. I haven't used absolute value or e to any power in so long, I am just like.....:dunno:

Once I have my intersection point I take the anti-D and then do an integral to find the area or volume that I am looking for.

I understand the integral part, I am just :dunno: on what is most likely the "easiest" part of the problem.

[Turbo3000]

For number 2 bro, what is the question asking????

Thanks DNA, nice program you have.

The second one I have to rotate the area bound by the two graphs around the X-axis and then find the volume using "shells", that is what my professor calls them.

[dna9488]

Thanks DNA, nice program you have.

The second one I have to rotate the area bound by the two graphs around the X-axis and then find the volume using "shells", that is what my professor calls them.

Ya man, no problem. I am not sure about number two because we didn't learn that. I took Calc 1 and thats it.

Like i said, i am sorry if Number 1 isn't clear. You're supposed to find the two areas and add them using integration, and thats what i did.

GOOD LUCK