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****Leaving Certificate: Higher Level Maths Discussion****
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does anyone else struggle with Rates of change in diferentiation? I cant get my head around it atall :S
It's a hard thing to grasp but once you get it it's fine
Basically, let's say your given the rate of change of the volume (dV/dt), and you want to find the rate of change of the radius (dr/dt)
First thing to note is that when they say 'rate of change' that means it was differentiated in terms of t, time.
So you have dV/dt, and you want to find dr/dt
So if you view them as fractions, you'd want to multiply dV/dt by dr/dV to get the dV's to cancel and leave you with dr/dt, the thing were trying to find
Want = Need x Given
dr/dt = dr/dV x dV/dt
If we know it's a sphere, say, we know the formula for it's volume in terms of r is 4/3 pi r^3
So dV/dr is 4 pi r^2
So we have what dV/dr is, but what we need is dr/dV - we simply just flip the expression, so we have 1/(4 pi r^2)
Then we just sub in 'r' which should be given, and multiply dr/dV by dV/dt (which we were given)
And that's it, the answer is dr/dt 0 -
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It's a hard thing to grasp but once you get it it's fine
Basically, let's say your given the rate of change of the volume (dV/dt), and you want to find the rate of change of the radius (dr/dt)
First thing to note is that when they say 'rate of change' that means it was differentiated in terms of t, time.
So you have dV/dt, and you want to find dr/dt
So if you view them as fractions, you'd want to multiply dV/dt by dr/dV to get the dV's to cancel and leave you with dr/dt, the thing were trying to find
Want = Need x Given
dr/dt = dr/dV x dV/dt
If we know it's a sphere, say, we know the formula for it's volume in terms of r is 4/3 pi r^3
So dV/dr is 4 pi r^2
So we have what dV/dr is, but what we need is dr/dV - we simply just flip the expression, so we have 1/(4 pi r^2)
Then we just sub in 'r' which should be given, and multiply dr/dV by dV/dt (which we were given)
And that's it, the answer is dr/dt
thats really helpful thanks
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Im somewhat the same, i like a challenge.. although that will change as soon as i get in there.
Yeah same for me probably :pac:
Just hoping for proof of de Moivres by induction or a geometric series by induction, the amortization proof and a nice complex numbers q XD
For the proof of de Moivres, if they don't specify, do you have to do it for positive, negative and 0, or?
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Saskatchewan wrote: »for part i 0.367%
Part II €2344 to nearest euro
Could you be amazing and post the question...? I did the examcraft mock 0 -
Need some clarification:
When doing the geometric series financial maths qs,
If you're given the amount borrowed and need to find the repayments, you use the P=F/(1+i)^t formula
And when you're given the total amount of savings and want to find the amount paid monthly/yearly you use F=P(1+i)^t
Yeah? 0 -
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Could you be amazing and post the question...? I did the examcraft mock
im not sure how to upload pictures from my phone. But it basically asks:
Find the value of 4.5% aer if compunded monthly for part I
Part 2 asks: if a member of the club can make 12 equal monthly installments of 200 euro at 4.5% find how much a member would pay in advance.
Hope this helps, sorry again0 -
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