SOLUTION: A viscous liquid is poured onto a flat surface. It forms a circular patch which grows at a steady rate of 4cm^2/s. Find, in terms of pi.
(a) The radius of the patch 16 seconds
Algebra.Com
Question 1043925: A viscous liquid is poured onto a flat surface. It forms a circular patch which grows at a steady rate of 4cm^2/s. Find, in terms of pi.
(a) The radius of the patch 16 seconds after pouring has commenced.
(b) The rate of increase of the radius at this instant.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ =\ 4t)
\ =\ \sqrt{\frac{A}{\pi}})
\ =\ \frac{2\sqrt{t}}{\sqrt{\pi})
\ =\ \frac{dr}{dt}\ =\ \frac{1}{sqrt{t\pi})
a) evaluate )
b) evaluate )
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
A circular patch of oil spread out on water increases at a rate of 6 cm^2/s. at what rate (answered by Fombitz,Alan3354)
1.Gas escapes from a round ball at a rate of 4m/s.
A.at what rate is the radius... (answered by Alan3354)
A raindrop falls into a puddle and causes a circular ripple to (answered by terbear1963,stanbon)
In teaching, most teachers use a laptop and project their documents from the laptop... (answered by ikleyn)
Sand is being poured at a rate of 0.50 m^3/min onto a conical pile whose radius is always (answered by math_tutor2020)
Pls answer it imeediately because i need the answer as soon as possible, Thanks... (answered by stanbon)
Find the surface area of a circular cylinder with radius of 4cm and a height of... (answered by jim_thompson5910)
Find the rate at which $12,696 compounded annually grows to 13,824 in 2... (answered by josgarithmetic,ikleyn)
A chemical is poured into a tank the shape of a cone with vertex down at the rate of 1/5... (answered by Alan3354)