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Degger [83]
2 years ago
7

A color printer prints 32 pages in 11 minutes how many does it take per page

Mathematics
1 answer:
Helga [31]2 years ago
4 0

\bf \begin{array}{ccll}
pages&minutes\\
\cline{1-2}
32&11\\
1&m
\end{array}\implies \cfrac{32}{1}=\cfrac{11}{m}\implies m=\cfrac{1\cdot 11}{32}\implies m=\stackrel{\textit{about }20\frac{1}{2}\textit{ seconds}}{0.34375}

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Find the solution to the initial value problem
Karo-lina-s [1.5K]

Answer:

y = (11x + 13)e^(-4x-4)

Step-by-step explanation:

Given y'' + 8y' + 16 = 0

The auxiliary equation to the differential equation is:

m² + 8m + 16 = 0

Factorizing this, we have

(m + 4)² = 0

m = -4 twice

The complimentary solution is

y_c = (C1 + C2x)e^(-4x)

Using the initial conditions

y(-1) = 2

2 = (C1 -C2) e^4

C1 - C2 = 2e^(-4).................................(1)

y'(-1) = 3

y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)

3 = -4(C1 - C2)e^4 + C2e^4

-4C1 + 5C2 = 3e^(-4)..............................(2)

Solving (1) and (2) simultaneously, we have

From (1)

C1 = 2e^(-4) + C2

Using this in (2)

-4[2e^(-4) + C2] + 5C2 = 3e^(-4)

C2 = 11e^(-4)

C1 = 2e^(-4) + 11e^(-4)

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Step-by-step explanation:

Use the midpoint formula:

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(\frac{ - 2}{2},\frac{2}{2}, \frac{6}{2} )

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( - 1,1,3 )

The correct answer is A.

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