Clarence
  • Clarence
The radius, r, of a circular cell changes with time t. If r(t) = ln(t+2), then the change in the area of the cell, ΔA, that occurs between t=0 and t=1 is given by ΔA = ∫ 2π ln(t+2)/t+2 dt. True or False? :/
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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triciaal
  • triciaal
|dw:1444022894691:dw|
FibonacciChick666
  • FibonacciChick666
So, what does an integral do?
triciaal
  • triciaal
|dw:1444022983963:dw|

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triciaal
  • triciaal
|dw:1444023306505:dw|
FibonacciChick666
  • FibonacciChick666
I assume your integral in the question is not indefinite? @Clarence
Clarence
  • Clarence
Yes, it's a definite integral, and I'm afraid I don't follow what triciaal has done... Sorry..
FibonacciChick666
  • FibonacciChick666
so do integrals calculate area?
Clarence
  • Clarence
Yes?
FibonacciChick666
  • FibonacciChick666
yea. by definition they do
Jhannybean
  • Jhannybean
Think of derivatives as finding a small incremental section of an area, and integrals are integrating that small section to find the total area made of those small, incremental sections.
FibonacciChick666
  • FibonacciChick666
so now, integrals calculate area under the curve. In this instance we need the area of a circle.
FibonacciChick666
  • FibonacciChick666
|dw:1444024744065:dw|
FibonacciChick666
  • FibonacciChick666
and what jhanny elegantly put is the concept I am trying to illustrate
BAdhi
  • BAdhi
I think this question is an application of the question you posted in the following link http://openstudy.com/study#/updates/561204cae4b06b089598f6ab where \(f(r) =2\pi r\) and \(g(t) = \ln(t+2)\)
FibonacciChick666
  • FibonacciChick666
^@BAdhi is correct. This is an application of the previous
Clarence
  • Clarence
So what do I actually have to do to solve this one? Just follow on from what I did previously?
FibonacciChick666
  • FibonacciChick666
yep, see if it was applied correctly
Clarence
  • Clarence
Okay then, I'll try that thanks
Clarence
  • Clarence
After going through the same process that BAdhi did previously, it seems right to me
FibonacciChick666
  • FibonacciChick666
I agree. Make sure you show your work with it on your paper :)
Clarence
  • Clarence
I will, thanks! :)

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