Question

# Q.Consider the curve dened by y = 40cos(0.1x + 0.2). The distance...

Q. Consider the curve deﬁned by y = 40cos(0.1x + 0.2). The distance d(x) from the origin (0,0) to a point (x,y) on the curve is

d(x) = sqrt( x^2 +(40cosx(0.1x+0.2)))^2

(a) Write a MATLAB program and function M-ﬁle to plot d(x) for −100 ≤ x ≤ 100. Also use the function M-ﬁle and the fminbnd command to ﬁnd (and display) the point (xmin, ymin) on the curve that is closest to the origin and display the minimum distance(i.e.,the distance from the origin to the point (xmin,ymin)).

(b) Write a MATLAB program that uses the fzero command to ﬁnd the point(s)on the curve at a distance of 60 from the origin.

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