True or false the foci of an ellipes can be outside the ellipes
1 answer:
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Answer:
cm
Step-by-step explanation:
The volume of the box is:
V = height * length * width
V = x*(66 - 2*x)*(90 - 2*x)
V = (66*x - 2*x^2)*(90 - 2*x)
V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3
V = 4*x^3 - 312*x^2 + 5940*x
where x is the length of the sides of the squares, in cm.
The mathematical problem is :
Maximize: V = 4*x^3 - 312*x^2 + 5940*x
subject to:
x > 0
2*x < 66 <=> x < 33
In the maximum, the first derivative of V, dV/dx, is equal to zero
dV/dx = 12*x^2 - 624*x + 5940
From quadratic formula
But , then is not the correct answer.
Answer:
Step-by-step explanation:
Start by multiplying both sides by 2, this will get rid of the fraction on the left side and will result in the equation
Then, subtract 2m from both sides, which leaves the equation as
Then, subtract 6 from both sides, this results with the equation
Finally, divide both sides by 10, this will result in m=-1