Consider the following equation y(t) = y0/√ 1 - z e - zwnt sin(wn√ 1 - z2 * t + theta)
A) Write a MATLAB M-file function to obtain numerical values of y(t). Your function must take y(0), ζ, ωn, t and θ as function inputs and y(t) as output argument.
B) Write a second script m-file to obtain the plot for y(t) for 0

The volume v and paper surface area a of a conical paper cup are given by where r is the radius of the base of the cone and h is the height of the cone. a. by eliminating h, obtain the expression for a as a function of r and v. b. create a user-de ned function that accepts r as the only argument and computes a for a given value of v. declare v to be global within the function. c. for v ! 10 in.3 , use the function with the fminbnd function to compute the value of r that minimizes the area a. what is the corresponding value of the height h? investigate the sensitivity of the solution by plotting v versus r. how much can r vary about its optimal value before the area increases 10 percent above its minimum value?