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jenyasd209 [6]
3 years ago
5

Ricky is filling an 8 inch by 4 inch by 4 1/2 inch rectangular box with packing peanuts. The peanuts are cubes that come in two

different sizes ,1 cubic inch and 1/8 inch .How many peanuts of each size are needed to fill the box?
Mathematics
1 answer:
7nadin3 [17]3 years ago
5 0
First find the volume of the box: 8•4•4.5=144 cubic inches.
8 of the 1/8 inch=1 of the 1 cubic inch
He could do 144 and 0
143 and 8
142 or 16
Or just keep following the pattern... Hope that helped
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The output y and input x of a device are related by y = x + 1.4x3 . (a) Find the values of the output for steady-state operation
erma4kov [3.2K]

Answer:

a) y(1) = 2.4 , y(2) = 13.2, b) y(x) = 2.4 + 5.2\cdot (x-1), y(1) = 2.4, y(2) = 7.6

Step-by-step explanation:

a) The values of the output for steady-state operation are:

y(1) = 1 + 1.4\cdot (1)^{3}

y(1) = 2.4

y(2) = 2 + 1.4\cdot (2)^{3}

y(2) = 13.2

b) The formula for linearization is:

y(x) = y(1) +\frac{dy}{dx}|_{x = 1} \cdot (x-1)

The first derivative of the formula evaluated at x = 1 is:

\frac{dy}{dx}|_{x=1} = 1 + 4.2\cdot (1)^{2}

\frac{dy}{dx}|_{x=1} = 5.2

The linearized model is:

y(x) = 2.4 + 5.2\cdot (x-1)

The output at x = 2 is presented below:

y(2) = 2.4 + 5.2\cdot (2-1)

y(2) = 7.6

Linearized model offers reasonable approximations for small intervals.

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Step-by-step explanation:

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Answer:

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If you graph it, you will see the vertical asymptote at x =7 and if you make a table using values very close to 7. (example: 6.8, 6.9, 7, 7.1, 7.2) you will see f(x) get larger and larger the closer you get to 7.
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Answer:

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