The answer are below, the work is show step by step.
A=14 and b=6
1 answer:
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Hello!
You can only add variables with the same base and exponent
8u^3 + 4u^3 = 12u^3
8u^2 + 0 = 8u^2
0 + -6u = -6u
6 + 3 = 9
Put the sums together
12u^3 + 8u^2 - 6u + 9
The answer is
Hope this helps!
You can only add variables with the same base and exponent
8u^3 + 4u^3 = 12u^3
8u^2 + 0 = 8u^2
0 + -6u = -6u
6 + 3 = 9
Put the sums together
12u^3 + 8u^2 - 6u + 9
The answer is
Hope this helps!
Answer:
x = 0.53 cm
Maximum volume = 1.75 cm³
Step-by-step explanation:
Refer to the attached diagram:
The volume of the box is given by
Let x denote the length of the sides of the square as shown in the diagram.
The width of the shaded region is given by
The length of the shaded region is given by
So, the volume of the box becomes,
In order to maximize the volume enclosed by the box, take the derivative of volume and set it to zero.
We are left with a quadratic equation.
We may solve the quadratic equation using quadratic formula.
The quadratic formula is given by
Where
Volume of the box at x= 1.59:
Volume of the box at x= 0.53:
The volume of the box is maximized when x = 0.53 cm
Therefore,
x = 0.53 cm
Maximum volume = 1.75 cm³
