Use MATLAB to solve each problem. Some of the commands you may need on this assi

Question

Use MATLAB to solve each problem. Some of the commands you may need on this assignment are: syms, fplot, hold on, int, fimplicit, solve, and double.

Consider the equation x = -y^2 + 5y - 3

a) Use fimplicit 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]

Explanation / Answer

Here is the code, do comment if you have any doubt. Thums up if this helps!

f = @(x,y) x + y.^2 -5.*y + 3;
fimplicit(f,[2 5]);

syms y
f1=y.^2-5.*y+3==0;
solve(f1,y)

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