Find two non-negative numbers x and y whose sum is 8 and are such that the xy² is as large as possible. A) $\frac { 8 } { 3 } \text { and } \frac { 16 } { 3 }$ B) 8 and 16 C) 4 and 4 D) 1 and 7

Question

Quizplus · Accepted Answer

To maximize $xy^2$ given $x + y = 8$, use calculus or symmetry. Set $x = \frac{8}{3}$ and $y = \frac{16}{3}$ to satisfy the condition and maximize the expression.

Find Two Non-Negative Numbers X and Y Whose Sum Is 83 and 163\frac { 8 } { 3 } \text { and } \frac { 16 } { 3 }38​ and 316​

Find Two Non-Negative Numbers X and Y Whose Sum Is $\frac { 8 } { 3 } \text { and } \frac { 16 } { 3 }$