You're looking for the extreme values of subject to
. The Lagrangian is
with critical wherever the partial derivatives vanish:
Substituting the first three solutions into the last equation gives
At these points, we have
so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).
Answer: Yes, it is
Step-by-step explanation:
To simplify square roots, you can factor the number inside the square root into its lowest common denominators.
Any value that appears twice can be "taken out" of the square root and moved to the left of it:
,
What you are doing is essentially taking the square root of 4 and the square root of 3. Because the square root of 4 can be simplified, and the square root of 3 cannot, this is the most simplified version of the expression we can reach.