Answer with Step-by-step explanation:
We are given that

Let g(x,y)=
We have to find the extreme values of the given function


Using Lagrange multipliers



Possible value x=0 or 
If x=0 then substitute the value in g(x,y)
Then, we get 


If
and substitute in the equation
Then , we get possible value of y=0
When y=0 substitute in g(x,y) then we get

Hence, function has possible extreme values at points (0,1),(0,-1), (1,0) and (-1,0).




Therefore, the maximum value of f on the circle
is
and minimum value of 
Answer:
Step-by-step explanation:
v/4-3=5 add 3, v/4=8 then divide by 4, v=2
Answer:24x+12
Step-by-step explanation:
8(3x+4)-20
24x+32-20
24x+12
Answer: The distance between the fence and where the string is pegged to the ground is 7.07 feet.
Step-by-step explanation:
Since we have given that
Length of string = 10 feet
Angle of elevation = 45°
We need to find the distance between the fence and where the string is pegged to the ground.
We will apply "Cosine formula "

Hence, the distance between the fence and where the string is pegged to the ground is 7.07 feet.
The answer is the second one. 20.075