Find the value of x that maximized the volume of the following:
1 answer:
Check the picture below.
as you can see, the graph of the volume function comes from below goes up up up, reaches a U-turn then goes down down, U-turns again then back up to infinity.
the maximum is reached at the close up you see in the picture on the right-side.
Why we don't use a higher value from the graph since it's going to infinity?
well, "x" is constrained by the lengths of the box, specifically by the length of the smaller side, namely 5 - 2x, so whatever "x" is, it can't never zero out the smaller side, and that'd happen when x = 2.5, how so? well 5 - 2(2.5) = 0, so "x" whatever value is may be, must be less than 2.5, but more than 0, and within those constraints the maximum you see in the picture is obtained.
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Answer:
The point is (7,0).
Step-by-step explanation:
The equation of a linear function in point-slope form is as follows :
...(1)
Where
(x₁,y₁) are the coordinates of the point which the line passes through it and (x,y).
Harold correctly wrote the equation y= 3(x–7)
or we can write it as :
y-0=3(x-7) ...(2)
Comparing equations (1) and (2), we get :
x₁ = 7 and y₁ = 0
So, the point is (7,0).
The correct option is (c).