if you have already covered slopes, you could also get it that way, in fact is simpler that way.
The width of Maya’s poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya’s poster determin
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if you have already covered slopes, you could also get it that way, in fact is simpler that way.
This is a problem where you should make an equation.
Let's say x is the first week. It would mean
First Week : x
Second Week : x + 5
Third Week : 2(x+5)
You need to add these up to make your equation. Your equation will look something like this :
Now you simplify.
That means they sold 104 Boxes in the First Week.
So they sold 109 Boxes the Second Week.
109 x 2 = 218
And they sold 218 Boxes the Third Week.
I hope I was useful!
Let's say x is the first week. It would mean
First Week : x
Second Week : x + 5
Third Week : 2(x+5)
You need to add these up to make your equation. Your equation will look something like this :
Now you simplify.
That means they sold 104 Boxes in the First Week.
So they sold 109 Boxes the Second Week.
109 x 2 = 218
And they sold 218 Boxes the Third Week.
I hope I was useful!
Let 
be an arbitrary point on the surface. The distance between 
and the given point 
is given by the function
Note that
and 
attain their extrema, if they have any, at the same values of 
. This allows us to consider the modified distance function,
So now you're minimizing
subject to the constraint 
. This is a perfect candidate for applying the method of Lagrange multipliers.
The Lagrangian in this case would be
which has partial derivatives
Setting all four equation equal to 0, you find from the third equation that either
or 
. In the first case, you arrive at a possible critical point of 
. In the second, plugging into the first two equations gives
and plugging these into the last equation gives
So you have three potential points to check:, 
, and 
. Evaluating either distance function (I use 
), you find that
So the two points on the surface closest to the point are 
.
Note that
So now you're minimizing
The Lagrangian in this case would be
which has partial derivatives
Setting all four equation equal to 0, you find from the third equation that either
and plugging these into the last equation gives
So you have three potential points to check:
So the two points on the surface