# SOLUTION: The radius of a circle as a function of time is defined by the equation, r(t)=4t^2+3t+1. Determine the rate of change in the area of the circle when dr/dt=11.

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: The radius of a circle as a function of time is defined by the equation, r(t)=4t^2+3t+1. Determine the rate of change in the area of the circle when dr/dt=11.      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help! Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

 Word Problems: Miscellaneous Word Problems Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Miscellaneous Word Problems Question 596252: The radius of a circle as a function of time is defined by the equation, r(t)=4t^2+3t+1. Determine the rate of change in the area of the circle when dr/dt=11.Answer by richard1234(5390)   (Show Source): You can put this solution on YOUR website!We have so when dr/dt = 11, t = 1. The area of the circle as a function of time is We differentiate both sides with respect to t: Replace t = 1 to obtain (units squared per unit of time)