Recent content by ISAM77

Thankyou :)

How/why do we get the line in the red box?

My brain is fried. Uh. such a silly thing to get stuck on. Literally 2u stuff

Why does du = (1+t^-2) dt

The enrichment questions always make me feel inadequate. I can't figure out part a). b) is done 👍 .

Perfect. Thankyou very much! It's all clear now

Maybe I'm missing something simple... "In the notation of the text". What does this mean?

Ok, awesome! I'll keep this in mind, and will look forward to learning multivariable calculus in the future :) Thanks very much

Struggling to see it unfortunately. I feel like I'm close, but just need someone to spell it out for me

Ok 👍 So what you're saying is, in this circumstance, dV/dt =/= dV/dr * dr/dt . Is that correct? Would this statement be true for the question above? (I know you can't solve the question using this statement. I just want to know if the statement is true)

I get that they're both changing over time. But why does that make them dependent on each other? e.g. you can increase the radius of a cone without changing the height of it. So the rates at which they are changing are independent are they not? Pls help me understand

Just doing some practice on Khan Academy. I'm just wondering why the working out on the right is wrong. If I use dV/dt = dV/dh * dh/dt , it also gives a different wrong answer. Why are these methods wrong?

Oh thanks mate. Easy logic.

For Q15 e) . Part of the solution uses the fact that I>0 for all n (highlighted in green). How do we know this?

I'll have another look at it later to try and understand what's going on. I'll let you know how I go