507 MrG How to solve Growth and Decay models.

2536 days ago by MATH4R2013

#1) p346 var('t') show(solve(1000==500*e^(.02*t),t)[0].rhs().n(digits=5)) show(solve(2000==500*e^(.02*t),t)[0].rhs().n(digits=5)) plot([1000,2000,500*e^(.02*t)],0,100) 
       


#3) p346 show(solve(.5==e^(-.0244*t),t)[60].rhs().n()) plot([.5,e^(-.0244*t)],0,30) 
       

#15) var('k') ans=solve(300==70+380*e^(5*k),k)[4].rhs().simplify_radical() ans 
       
solve(135==70+380*e^(ans*t),t)[0].rhs().n() 
       
plot([135,70+380*e^(ans*t)],0,20)