Answer:
The longer part is <u>45 cm</u> long and the shorter part is <u>25 cm</u> long.
Step-by-step explanation:
Given:
A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part.
Now, to find the length of each part of the stick.
Let the shorter part be 
So, the longer part is 
Total length of the stick = 70 cm.
Now, to get the length of each part we solve an equation:

<em>The length of the shorter part is 25 cm.</em>
Now, substituting the value of
:

<em>The length of longer part is 45 cm.</em>
Therefore, the longer part is 45 cm long and the shorter part is 25 cm long.
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).
yup and your going to jail :)
To get the coordinates, we would use the midpoint formula (google it)
(X1-X2/2 , Y1+Y2/2)
(-3+0/2 , -1+1/2)
N: (-3/2,0)