matlab

The expression sin(y)=x^2 +2*x*y is implicit for y cannot easily be rearrange to y=f(x)). a. Convert the implicit equation into a root problem and find y for x=5 (use bisect.m). b. Write a script that uses the same strategy as in a) to calculate y for x values from 1 to 20 (step size 1) and plot the result (y vs. x, plot the datapoints as circles). (hint for the bracket selection: y stays negative over this range)