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junior college 1 | H1 Maths
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Date Posted: 6 years ago
Views: 581
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Pardon the handwriting
You first start off with the area of a circle equation, A = pi × r^2, and then differentiate to get dA/dr
You are given rate of change of area, dA/dt, and using chain rule you can get dr/dt.
You can find the equation of r in terms of t or otherwise, in order to get the value of r at any given t, such like for part ii. (Bottom left)
With that, you can substitute any value of r to get the rate of change of radius over time.
Give it a try! Hope it helps
You first start off with the area of a circle equation, A = pi × r^2, and then differentiate to get dA/dr
You are given rate of change of area, dA/dt, and using chain rule you can get dr/dt.
You can find the equation of r in terms of t or otherwise, in order to get the value of r at any given t, such like for part ii. (Bottom left)
With that, you can substitute any value of r to get the rate of change of radius over time.
Give it a try! Hope it helps
Date Posted:
6 years ago
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