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3 years ago

What are the numbers that are either negative or greater than 5

Mathematics

1 answer:

Reptile [31]3 years ago

7 0

postive or greater6 7 8 9 10

negative or less 4 3 2 1 0

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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

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

4 0

2 years ago

Use this graph of velocity vs. time for two objects to answer the question.

Lynna [10]

Using derivatives, it is found that the correct option is:

A. Object C has an acceleration that is greater than the acceleration for D.

The acceleration is the <u>derivative of the velocity</u>, given by change in velocity divided by change in time, that is:

$a = \frac{\Delta_v}{\Delta_t}$

In this problem:

The change in time for objects C and T is the same.
The <u>change in velocity for object C is greater</u>, thus, it has a greater acceleration, and the correct option is:

A. Object C has an acceleration that is greater than the acceleration for D.

A similar problem is given at brainly.com/question/14516604

6 0

3 years ago

Read 2 more answers

What is 1.6 powered by 2

ss7ja [257]

Answer:

2.56

Step-by-step explanation:

1.6^2 = 1.6 * 1.6 = 2.56

7 0

3 years ago

$1,000 for 40 years at 8% annual simple interest

bekas [8.4K]

Answer:

$3200

Step-by-step explanation:

1000x40x8/100

pls make me brainlist

5 0

3 years ago

angel has 4/8 yard of ribbon and Lynn has 3/4 yard of ribbon. do angel and Lynn have the same amount of ribbon

Licemer1 [7]

No, as Anglel has 0.5 yards and Lynn has 0.75 yards

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3 years ago

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