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vladimir2022 [97]
2 years ago
13

Pls help me with this

Mathematics
1 answer:
kvasek [131]2 years ago
7 0

Answer:

1st one is positive

2nd one is negative

3rd one is negative

4th one is positive

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Given that:

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a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h *x^{2} in^{3}

<=> V = (20-x) x^{2}  in^{3}

b. What is the maximum possible volume of the box?

To  maximum the volume of it, we need to use first derivative of the volume.

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<=> x = 40/3

=>the height h = 20/3

So  the maximum possible volume of the box is:

V = 20/3 * 40/3 *40/3

= 1185.185 in^{3}

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