(a) Give the partial derivatives of P. Pr,s)= 2rs +². - 5s + 2 Ps(r,s)= 2² +r2s - 5r (b) Which graph is steeper? OP(r,2) at r=3 P(3,s) at s=2 (c) Let C be a positive constant and let f(s)=P(C,s). Use your knowledge of quadratic functions to give a formula, in terms of C, for the value of s that gives the smallest value of f. S= cs² + s(c² - 5c) +2c|x

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