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:
<h2>1529.4 m³</h2>
Step-by-step explanation:
Volume of a pyramid can be found by using the formula
a is the area of the base
h is the height
Since the base is a square we have
We have the final answer as
<h3>1529.4 m³</h3>
Hope this helps you
√10x-24 = x
Step by step solution :
STEP
1
:
Isolate the square root on the left hand side
Radical already isolated
√10x-24 = x
STEP
2
:
Eliminate the radical on the left hand side
Raise both sides to the second power
(√10x-24)2 = (x)2
After squaring
10x-24 = x2
STEP
3
:
Solve the quadratic equation
Rearranged equation
x2 - 10x + 24 = 0
This equation has two rational roots:
{x1, x2}={6, 4}
STEP
4
:
Check that the first solution is correct
Original equation
√10x-24 = x
Plug in 6 for x
√10•(6)-24 = (6)
Simplify
√36 = 6
Solution checks !!
Solution is:
x = 6
STEP
5
:
Check that the second solution is correct
Original equation
√10x-24 = x
Plug in 4 for x
√10•(4)-24 = (4)
Simplify
√16 = 4
Solution checks !!
Solution is:
x = 4
a. 9 cm 2 because each side would be 3 and length x width would be 3 x 3 = 9
