HARDEST MATH PROBLEM EVER

4 x 10 to the power of apples v oranges

eat the math

drink the math

sleep with the math

be the math

then and only then you can do the math
 
Simple: find x in terms of r from the equation linking p, x, and r (taking p as constant), then substitute into the equation for A, differentiate with respect to r to maximise A, then plug in your value of p.
 
I don't know how I did it but I got r = 3.2316 giving area of 37.291817.

I'm probably wrong though it's been 5 years since i did my leaving cert maths.
 
or put the equations in excel and run a solver to vary x and r keeping P equal to 30 whilst maximizing A. After all what were computers made for..
 
Surely you just create an equation from the area and perimeter equations and then differentiate to get radius which maximises area and then plug in the radius.

Any decent A-level Maths student should be able to do this.

edit: lemme check if youve done it right

edit: I get x = r = 4.2007 which corresponds to A = 63.011

x being equal to r is also intuitive if you are maximising a rectangle.


Yeep. That's what I got too. We learnt this a week or so ago in the first few lessons of AS Level maths.
 
Simple: find x in terms of r from the equation linking p, x, and r (taking p as constant), then substitute into the equation for A, differentiate with respect to r to maximise A, then plug in your value of p.

You just made my hangover come back, is it bad that i can't even read that in one go let alone understand it?
 
Im guessing it involves rearranging into a formula, differentiation to find turning points, then again to find if it's a MAXIMA/Minima value, plug numbers back in. Ta-dah!
 
I had it right all along, the problem lied in the fact that I completely ignored my end answer and instead decided I did something wrong :confused:

After then telling all helpers I had done it wrong they couldn't see the error in my working and were taking my word that the r = 4.2 was incorrect :p
 
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