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otez555 [7]
3 years ago
6

Write the ratio as a fraction in lowest terms. Be sure to make al necessary conversions. 70 cents to $8

Mathematics
1 answer:
dedylja [7]3 years ago
6 0
70 cents       $1                70            7
------------- * -------------- = ------- = --------   (answer)
$8                100 cents      800         80
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Let y(????)y(t) be a solution of y˙=17y(1−y7)y˙=17y(1−y7) such that y(0)=14y(0)=14. Determine lim????→[infinity]y(????)limt→[inf
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Step-by-step explanation:

Given that,

y' = 17y ( 1-y^7)

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Then show that it is the only stable equilibrium point so that as y→1, t→∞ with any initial value.

So, the graph solution will be

y(0) = 1 and this will be an horizontal line

If, y(0) > 1 then, y' < 0 by inspecting the first equation, so the graph is has decreasing solution.

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This make the limit be 1.

This shows that x = 1 is a stable equilibrium.

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