MATLAB:

3. (3 points) Consider the equation x = y 2 + 5y 3.

(a) Use f implicit to plot the graph of this equation for in the interval [2, 5].

(b) Find the y-intercepts of this graph.

(c) Find the volume of the solid found by rotating the region bounded by the y-axis and x = y 2 + 5y 3 about the y-axis. USE THE DISK METHOD (even if you have already learned the shell method). [Use the double command to approximate your answer as a decimal.]

This is what I have so far:

%a

syms y

x=-(y^2)+(5*y)-3;

fimplicit(x,[-2,5])

%b

yint=solve(x,zeros)

%c