Question: 2. Consider two nonnegative numbers x and y such that x + y = 10. Maximize the quantity 2y2 by following these steps. (a)

2. Consider two nonnegative numbers x and y such that x +

2. Consider two nonnegative numbers x and y such that x + y = 10. Maximize the quantity 2y2 by following these steps. (a) Determine a function which will be maximized, and express that function using only one variable. (b) Find the domain of the function. (c) Find the critical numbers of the function. (d) Determine the two nonnegative numbers x and y that satisfy the condition and maximize ry.

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