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:
155
Step-by-step explanation:
calculate the areas of 2 rectangles
method A
one rectangle with lengths 8 and 10
the other 15 and 5
so 8x10 + 15x5 = 80 + 75 = 155
method B
one traingle with lenghts 5 and 7
the other 15 and 8
so 15x8 + 5x7 = 120 + 35 = 155
Let's see it...
-x+0+(-x)=0 ???
There is a + before the parenthesis, the sign is the same.
-x+0-x = 0
Since the x have equal sign, we add them to get -2x
We have 2x - 0 = 0
Move the zero to the right, so 2x = 0
Divide both for 2...
x = 0
Substitute 0 to x, so -0+0+(-0) = 0
0 = 0 the statement is true
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
