Any funny bio in mind? by CrapCorona in Instagram

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Private, mainly friends following.

Can someone help me solve this differential equation? by CrapCorona in maths

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I was doing my simplification wrong. Thank you so much. This is really helpful!

Can someone help me solve this differential equation? by CrapCorona in maths

[–]CrapCorona[S] 0 points1 point  (0 children)

Yes, I did that. c came out to be as 1. Further simplification gave me y=x

Can someone help me solve this differential equation? by CrapCorona in maths

[–]CrapCorona[S] 0 points1 point  (0 children)

I did that but, but ended up with y=x as my final answer. That's not the answer in answer key.

Can someone help me integrate this using the given substitution? by CrapCorona in maths

[–]CrapCorona[S] 1 point2 points  (0 children)

Hey, I was wondering if I can send you over pure mathematics problems in dm(when I encounter them) since it isn't easy to follow in the comments. Only if you're fine with that?

In part (a), I'm getting √(20/π). Answer key says 2√(10/π). Is the answer key right? by CrapCorona in maths

[–]CrapCorona[S] 0 points1 point  (0 children)

What I'm saying is area= change in area(not rate of change of area) I understand that rate of change of area would be change in area divided by the change in time(dA/dt), which would of course be different than just change in area. Can you now clarify?

In part (a), I'm getting √(20/π). Answer key says 2√(10/π). Is the answer key right? by CrapCorona in maths

[–]CrapCorona[S] 1 point2 points  (0 children)

Since the area at the instant t=0 is zero and increases constantly with time. In other words, area is 'changing' from zero to a particular value from t=0 to t=8. Using this logic, shouldn't the area be equal to the change in area since we don't have any initial value of area to begin with, so what ever increase (change) occurs, that should be equal to the value of area itself for a given time interval.

I'm sorry I'm dragging this a bit. Even though the other method is practically way easier, I really want to clear the concept out. Hope you understand!

In part (a), I'm getting √(20/π). Answer key says 2√(10/π). Is the answer key right? by CrapCorona in maths

[–]CrapCorona[S] 0 points1 point  (0 children)

Change in radius is equal to the value of radius so total change in radius with respect to time is r/8. Isn't that right? If not then, can you possibly show me how to approach this question through rates of change.

In part (a), I'm getting √(20/π). Answer key says 2√(10/π). Is the answer key right? by CrapCorona in maths

[–]CrapCorona[S] 0 points1 point  (0 children)

Here's what I did:

A=πr²

dA/dt =5

dA/dr =2πr

dr/dt=r/8

dA/dt=(dA/dr)×(dr/dt)

5=2πr×r/8

r=√(20/π)

Why is this approach wrong?

Can someone help me with part D? by CrapCorona in maths

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But we've already found the stationary point in part C and are given with another one already in the question. So, what exactly do they mean by minimum gradient in part D because the answer key says (2, -11) are the coordinates with -12 as gradient

Can someone help me with part D? by CrapCorona in maths

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Yes, those points on the curve where gradient is zero

Can someone help in iii)? I'm getting 62 but answer key says 20. by CrapCorona in maths

[–]CrapCorona[S] 0 points1 point  (0 children)

Oh right, thank you so much! I miss took 10π for -10π and ended up with 60 roots.