The graph below describes f′(x)- the derivative of the function f(x).
1) Write a differential equation describing this system. This implies that you need to find the equation of the line on the graph.
df/dx=________________
2) Find the general solution to this differential equation. Find the function f(x)f(x) whose derivative is the equation of the line graphed.
The general solution is: f(x)=____________ + C
3) Now given that graph of the function f(x) includes the point (0,100) find the exact solution of the differential equation found in 1) . i.e, in addition to general solution you will have to find exact value of arbitrary constant C .
The exact solution is: f(x)=_____________
4) Now find the exact solution of the differential equation found in 1) given that the graph of the function f(x) includes the point (2,0).
The exact solution is: f(x)=_______________
