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lana66690 [7]
3 years ago
6

Whats the slope of (-8,-1) and (-6,-2)

Mathematics
1 answer:
STatiana [176]3 years ago
5 0
Answer: -1/2 or -0.5.
Explanation: -2- -1, -6- -2= -0.5
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Please help me with the below question.
VMariaS [17]

By letting

y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}

we get derivatives

y' = \displaystyle \sum_{n=0}^\infty (n+r) c_n x^{n+r-1}

y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0

Examine the lowest degree term \left(x^{r-1}\right), which gives rise to the indicial equation,

5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients c_k is

(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}

so that with r = 4/5, the coefficients are governed by

c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}

c) Starting with c_0=1, we find

c_1 = -\dfrac{c_0}5 = -\dfrac15

c_2 = -\dfrac{c_1}{10} = \dfrac1{50}

so that the first three terms of the solution are

\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}

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3 years ago
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Answer:

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Qué procedimiento debe realizar para convertir kilómetros a mililitros
natulia [17]

Answer:

multiplica el valor de volumen por 1e+15

Step-by-step explanation:

4 0
3 years ago
write an equation in point-slope form for the line through the given point with the given slope (10,-9);m=-2​
fgiga [73]

Answer:

The answer is

<h2>y + 9 =  - 2(x - 10)</h2>

Step-by-step explanation:

To find the equation of a line given a point and slope we use the formula

<h3>y - y1 = m(x - x1)</h3>

where

m is the slope

( x1 , y1) is the point

From the question

Slope / m = - 2

The point is ( 10, - 9)

Substitute the values into the above formula

That's the final answer is

<h3>y + 9 =  - 2(x - 10)</h3>

Hope this helps you

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3 years ago
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