Answer:
a) The value of absolute minimum value = - 0.3536
b) which is attained at
Step-by-step explanation:
<u>Step(i)</u>:-
Given function
...(i)
Differentiating equation (i) with respective to 'x'
...(ii)

Equating Zero






<u><em>Step(ii):</em></u>-
Again Differentiating equation (ii) with respective to 'x'
put


The absolute minimum value at 
<u><em>Step(iii):</em></u>-
The value of absolute minimum value


on calculation we get
The value of absolute minimum value = - 0.3536
<u><em>Final answer</em></u>:-
a) The value of absolute minimum value = - 0.3536
b) which is attained at
Answer:
0.88888889, 88.888889%,
Step-by-step explanation:
Convert to decimal, and convert decimal to percentage.
Answer:
Volume of sphere is 
Step-by-step explanation:
It is given that Hal says that volume of sphere is 
Volume of sphere is given by 




Now using 3.14 in place of 
Now volume of sphere is


Therefore volume of sphere when we use 3.14 in place of
is 
And the Hal likely error is he uses
directly for calculation of volume.
The difference of two squares factoring pattern states that a difference of two squares can be factored as follows:

So, whenever you recognize the two terms of a subtraction to be two squares, you can factor it as the sum of the roots multiplied by the difference of the roots.
In this case, the squares are obvious:
is the square of
, and
is the square of 
So, we can factor the expression as
![(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)] - [(x+2)+(y+2)]](https://tex.z-dn.net/?f=%20%28x%2B2%29%5E2%20-%20%28y%2B2%29%5E2%20%3D%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%20-%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%20)
(the round parenthesis aren't necessary, I used them only to make clear the two terms)
We can simplify the expression summing like terms:
![(x+2)^2 - (y+2)^2 = [(x+2)+(y+2)][(x+2)-(y+2)] = (x+y+4)(x-y)](https://tex.z-dn.net/?f=%28x%2B2%29%5E2%20-%20%28y%2B2%29%5E2%20%3D%20%5B%28x%2B2%29%2B%28y%2B2%29%5D%5B%28x%2B2%29-%28y%2B2%29%5D%20%3D%20%28x%2By%2B4%29%28x-y%29%20)