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labwork [276]
3 years ago
6

For the differential equation s′′+bs′+6s=0, find all the values of b that make the general solution overdamped, those that make

it underdamped, and those that make it critically damped. (For each, give an interval or intervals for b for which the equation is as indicated. Thus if the the equation is overdamped for all b in the range 2

Mathematics
1 answer:
djyliett [7]3 years ago
6 0

Answer:

<em><u>note:</u></em>

<em><u>solution is attached</u></em>

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How to solve -2(x+3)=8​
Shtirlitz [24]
-2(x + 3) = 8

Multiply -2 with x and 3

-2x -6 = 8

Now add 6 to both sides

-2x -6 = 8
+6 +8

-2x = 16

Lastly divide -2 from both sides to find x


-2x = 16
—— —-
-2x -2x


X = -8
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What is 0.83 in fraction form?
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 An athlete runs an equal distance 2 days a week. The other 5 days of the​ week, he runs a total of 11 miles. Write an equation
katovenus [111]
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3 0
3 years ago
Use linear approximation to estimate f (2.85 )given that f (3 )equals 2 and f prime (3 )equals 5.
Allisa [31]

Answer:

Step-by-step explanation:

Given that,

f(3) = 2

f'(3) = 5.

We want to estimate f(2.85)

The linear approximation of "f" at "a" is one way of writing the equation of the tangent line at "a".

At x = a, y = f(a) and the slope of the tangent line is f'(a).

So, in point slope form, the tangent line has equation

y − f(a) = f'(a)(x − a)

The linearization solves for y by adding f(a) to both sides

f(x) = f(a) + f'(a)(x − a).

Given that,

f(3) = 2,

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a = 3, we want to find f(2.85)

x = 2.85

Therefore,

f(x) = f(a) + f'(a)(x − a)

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f(2.85) = 2 + 5×-0.15

f(2.85) = 2 - 0.75

f(2.85) = 1.25

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3 years ago
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