Maximize F(x, Y, Z) = X + Y + Z $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1 , x , y , z > 0$

question 39

Short Answer

Maximize f(x, y, z) = x + y + z subject to the constraint $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } = 1 , x , y , z > 0$ Enter your answer as just $3 ^a$ where a is a reduced fraction of form $\frac { b } { c }$ .

Understand the types of reactions that enols and enolates can undergo, including aldol and Claisen condensations, Michael addition, and alkylation.

Comprehend the structure and reactivity of lithium diisopropylamide (LDA) as a strong base in organic synthesis.

Distinguish between different types of stereoisomers and predict stereoisomeric outcomes of reactions when applicable.

Understand the methodology for predicting major organic products in reactions involving enols, enolates, and related species.