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shtirl [24]
3 years ago
7

Thank you for you're help

Mathematics
1 answer:
kogti [31]3 years ago
7 0
Add one each time. Five up and five right. In 0, there will be one tile. I hope this helped.
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Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an
Andrej [43]

Answer:

The maximum volume of the open box is 24.26 cm³

Step-by-step explanation:

The volume of the box is given as V=g(x), where g(x)=x(6-2x)(8-2x) and 0\le x\le3.

Expand the function to obtain:

g(x)=4x^3-28x^2+48x

Differentiate  wrt  x to obtain:

g'(x)=12x^2-56x+48

To find the point where the maximum value occurs, we solve

g'(x)=0

\implies 12x^2-56x+48=0

\implies x=1.13,x=3.54

Discard x=3.54 because it is not within the given domain.

Apply the second derivative test to confirm the maximum critical point.

g''(x)=24x-56, g''(1.13)=24(1.13)-56=-28.88\:

This means the maximum volume occurs at x=1.13.

Substitute x=1.13 into g(x)=x(6-2x)(8-2x) to get the maximum volume.

g(1.13)=1.13(6-2\times1.13)(8-2\times1.13)=24.26

The maximum volume of the open box is 24.26 cm³

See attachment for graph.

6 0
3 years ago
Candy selling at $6.00 per pound will be mixed with candy selling at $9.00 per pound. How many pounds of the more expensive cand
gregori [183]
I think the answer is 10
8 0
3 years ago
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7 yd<br> 4 yd<br> 18 yd<br> 11 yd<br> 14 yd
Dima020 [189]

Answer:

????????????

Step-by-step explanation:

8 0
3 years ago
If CB 1 AB and mA = 60, what is the measure of C?
Yanka [14]

Answer:

The answer should be D. 120 degrees

5 0
3 years ago
1 + cot^2 x is equivalent to
zysi [14]

Answer:

csc^2x

Step-by-step explanation:

It's a trig identity where 1+cot^2x = csc^2x

6 0
2 years ago
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