differential equations

[sleek yacht]

how do i begin this question, how do i form the equations?

[trim cloud]

First write everything u know about the cylinder, so I think just do surface area, volume, differentiate those then note down the rate of SA decrease which is ds/dt

Then cook from there

If you’d like me to do the solution lmk @sleek yacht

[sleek yacht]

if you dont mind, would you be able to?

[trim cloud]

May be a significant delay as I have further maths revision

[sleek yacht]

no problem.

[trim cloud]

Doing it now

@sleek yacht

[carmine pier]

Where can I find practice for this type of stuff

Or is this going to like a standard differentiation question when I reach y13

These questions seem interesting and fun

[sleek yacht]

pretty much

[sleek yacht]

thank you so much, this helped

[carmine pier]

I do have one question for this tho, why is ds/dt here 0.5 where your value for s is the entire area of the pill and not just the cross sectional area as the question states?

[trim cloud]

They are yeah, you can have a look at the Year 2 book chapter 9 if I’m not mistaken (or go on PMT -> Calculus)

[trim cloud]

Oop maybe I missed that actually 😅 I’d need the mark scheme to double check that haha