S Scott G Guest Apr 25, 2009 #1 A firm estimates that its sales will increase at a rate given by (d/dt)S(t)=10sqrt(t), where t is measured in years. Find the total sales during the second and third years.
A firm estimates that its sales will increase at a rate given by (d/dt)S(t)=10sqrt(t), where t is measured in years. Find the total sales during the second and third years.
J Jedimasterchief Guest Apr 25, 2009 #2 so d(s)/dt=10*t^(1/2). Ok so you integrate from 2 to 3 and then you get 20/3*t^(3/2). Then you must put in 3 and 2. So (20/3*(3^(3/2)))-(20/3*(2^(3/2)))
so d(s)/dt=10*t^(1/2). Ok so you integrate from 2 to 3 and then you get 20/3*t^(3/2). Then you must put in 3 and 2. So (20/3*(3^(3/2)))-(20/3*(2^(3/2)))
P Pointy Guest Apr 25, 2009 #3 dS/dt = 10*sqrt (t) S = âŒ*[10*sqrt (t)]dt I will leave the actual integration for you to do. Your limits of integration are from t = 2 to t = 3. Hope this helps.
dS/dt = 10*sqrt (t) S = âŒ*[10*sqrt (t)]dt I will leave the actual integration for you to do. Your limits of integration are from t = 2 to t = 3. Hope this helps.
