Question

Maximize Q=xy, where x and y are positive numbers such that x + 4/3y^2 = 9....

Maximize Q=xy, where x and y are positive numbers such that x + 4/3y^2 = 9.

The maximum value of Q is ___ and occurs at x= ___ and y= ___. (Type exact answers in simplified form.)

Math   Calculus   
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Homework Answers

Answer #1

we have

and

put the value of x,

dQ/dy = 0 for the maximum value of Q,

so,

and Q is,

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