Recent content by Liparulo

Ah, well there's a problem with my assignment right off the bat. I think I may be approaching it wrong. The question asks us to minimise the materials needed for a gutter, in this case a circle. We then have to compare it to other shapes. My logic is to first find the maximum radius of the...

Homework Statement This is a problem within a problem. I need to differentiate the area of a chord of find the maximum area (and hopefully, in the process, radius). Homework Equations I found this equation on another site: A=R^2[(Pi/180*c - sin c)]/2 Where: • C is the central angle in...

Well, here's the problem in its entirety: http://nrich.maths.org/5673 We weren't given anything else to work with.

Homework Statement A plastic gutter is designed to catch water at the edge of a roof. Manufacturers need to minimise the amount of material used to make their product. What is the best cross-section for a gutter? In this case, a circle. Homework Equations None, asside from...

So, (sorry to continue asking questions, but this is helping), would I find the perimeter of the circumference minus the perimeter of the arc? What role does area play in determining an equation?

The same perimeter can have a varying area, correct? Or would it be the same area every time? For example, if I curve a piece of paper, I can make the shape wider or smaller, but the perimeter stays the same. Is the area changing even though perimeter stays constant? Thanks.

Hey Guys, For a maths assignment, we were given this question to complete: http://nrich.maths.org/5673 I'm having an discussion with a friend of how best to approach it. Should I work out and differentiate the area or perimeter (for the circle)? If we're finding the cost of materials, then...

Ah, I solved it! Thank you very much.

Hmm, okay then. That did occur to me initially, but I overlooked it because it started to match the other equation. How would you solve it? I've tried a few times to no avail.

I'm sorry for sounding dumb, but could you please explain why 22 needs be in the denominator? Does not seem to be a good maths day today.

I'm not sure, I just need to prove that the two equations are equal. :|

I'm probably wrong, but I went: 2(3x/100) - 2 2(3x)0.01 80.01x

I've done redone it in Microsoft word: http://img175.imageshack.us/img175/6467/78807985.jpg Thank you. :)

Homework Statement y=8^0.01x Differentiates to: 0.01 ln8 x 8^0.01x Using derive on a graphics calculator, the answer given is: 3x2^3x-200/100 ln2/25 Prove that the two equal each other using index and logarithm laws. Homework Equations The Attempt at a Solution Ah, well...

Okay, here is what I have so far: The function C(t)rrepresents the amount of caffeine present in your body, t symbolizing the number of hours passed since the first cola, assuming that there is no other cola or caffeine present from previous days. Let a represent the caffeine supplied per drink...