anonymous
  • anonymous
The radius of a circle is increasing. At a certain instant, the rate of increase in the area of the circle is numerically equal to twice the rate of increase in its circumference. What is the radius of the circle at that instant?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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yuki
  • yuki
if you let x be your radius, you can find both the area and the circumference as a function of x. can you do that ?
yuki
  • yuki
Now you want to know what "rate of increase in the area" and "rate of increase in the circumference" is algebraically.
yuki
  • yuki
I'm just going to assume that you are reading this. if you let the Area of the circle "A" then the rate of increase of A would be A'. More precisely, dA/dt since we are focusing on how fast the area is changing regarding at what time

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yuki
  • yuki
similarly, if you let "C" be the circumference dC/dt would be the rate of increase at a certain time t where the unit is in meters/second.
yuki
  • yuki
Do you understand so far ?
dumbcow
  • dumbcow
i think they left
yuki
  • yuki
let me know if you still need help
dumbcow
  • dumbcow
oh well here is answer radiuis = 2
anonymous
  • anonymous
Is there a formula that i need to use to solve this?

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