This assignment is past the original due date of Mon 11/13/2017 11:59 pm.You hav
ID: 2891633 • Letter: T
Question
This assignment is past the original due date of Mon 11/13/2017 11:59 pm.You have used a LatePass Due in 1 hours, 39 minutes. Due Tue 11/14/2017 11:59 pr An oil spill in the ocean spreads in the shape of a circle, with area given by A = . The area of the spill is increasing at the rate of 20,900 square meters per hour at the moment when the radius of the spill is r = 101 meters. How fast is the radius of the spill increasing at that moment? Give the answer accurate to at least 1 decimal place an Points possit This is atten square meters per hour square meters meters per hour SubmitExplanation / Answer
We have given An oil spill in the ocean spreads in the shape of a circle area A=(pi)r^2 and dA/dt=20,900 square meters per hour,radius of the spill r=101
differentiaing A with respect to r
dA/dt =2(pi)r*(dr/dt)
plug dA/dt=20,900 and r=101 meters into above equation
20,900=2*(pi)*101(dr/dt)
dr/dt=(20,900)/(2*(pi)*101)=32.9340426794
dr/dt=32.9 meters per hour
when the radius of the spill r=101 meters, the radius of the spill increasing at that moment is 32.9 meters per hour