(a) Make y the subject of the formula 9x + 3y = 2. (b) The function, z...

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(a) Make y the subject of the formula 9x + 3y = 2.
(b) The function,
z = 3xy
is subject to the constraint
9x + 3y = 2
Use your answer to part (a) to show that
z = 2x − 9x2
Hence find the maximum value of z and the corresponding values of x and y.

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