Next weeks Math problem of the day

I am posting two for next week:

1st

Prove the area of a circle is ?*r^2 using any method


5 kudos for that one

2nd

find the indefinate integral for: y/(square root of(y-3))

What the hell, I'll throw in a third:

find f`(x) if it is known that:
d/dx[f(2x)]=x^2

What ever happened to the good old 1+1?

IM feeling too things here, either you have homework to do.. or... you are really bored...

Im thinking its the latter... lol..

ur scaring me away from going into another math

Prove the area of a circle is ?*r^2 using any method

Well, there is no answer for that one.
First draw a circle on a graph. the area in the 1st quadrant is the integral of 0-r of the square root of r^2-x^2. Integrate that using trig-sub and then multiply by four. That should give the answer.

find the indefinite integral for: y/(square root of(y-3))

Here you just need to substitute y=u^2 + 3 and then dy= 2u du and then cancel out the u's and you got a power function which you can easily integrate.

find f`(x) if it is known that:
d/dx[f(2x)]=x^2

f'(x)=x^2/4

Easy it does not take an einstein to work those little cookies out. What part are you stuck on. Maybe I can help?

Yay! A volunteer! Well the one I'm stuck on is: dL/dt= kL^2 ln(t) L(1)=-1
Solve for L
Thank you.

Yeah, I'm with you. My son had math that made me think so hard to try to help him last year, that now I have

bad excuse old duddy..

Ok, doll face.. you answer it.

still no answeres?

i think im gonna need longer than 2 weeks to figure that out

thats very easy but all they are talkign about is how to solve it using a calculator, not explaining the way to found out at al nor what it is about.. so htats in fact useless to do it htat way. thts not math thats pass time in a toilet.. well for me at least..

No calculators! You do have to show your work...