A polynomial may be represented using a linked list as follows: for every term in the polynomial there is one entry in the linked list consisting of the term's coefficient and degree. The entries are ordered according to ASCENDING values of degree, i. e. lowest degree term first, then next lowest degree term and so on, all the way up to the highest degree term. IMPORTANT: Zero-coefficient terms are NOT stored. For example, the following polynomial (the symbol '^' is used to mean 'raised to the power'): 4x^5 - 2x^3 + 2x +3 can be represented as the linked list of terms: (3,0) -> (2,1) -> (-2,3) -> (4,5) where each term is a (coefficient, degree) pair. Notes about representation:

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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?

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