5. Let f(x)= 12-x for x ≥ 0 and f(x) ≥ 0. (a) The line tangent to the graph off at the point(k, f(k)) intercepts the x-axis at x = 4. What is the value of k? (b) An isosceles triangle whose base is the interval from (0,0) to (c,0) has its vertex on the graph off. For what value of c does the triangle have maximum area? Justify your answer.

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