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3 years ago

What is 1-4-x-(4-1)=-x-2-(4) With your work shown

Mathematics

1 answer:

erastovalidia [21]3 years ago

7 0

Lets take this step by step.

1-4-x-(4-1)=-x-2-(4)

first, we'll simplify the parentheses on the left side of the equation.

1-4-x-3=-x-2-(4)

second, we'll combine like terms on the left side.

-6-x=-x-2-(4)

third, we'll combine like terms on the right side of the equation.

-6-x=-6-x

since these are equal, (x=x), we have infinitely many solutions.

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Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x/6x^2 +

timama [110]

Looks like your function is

$f(x)=\dfrac x{6x^2+1}$

Rewrite it as

$f(x)=\dfrac x{1-(-6x^2)}$

Recall that for $|x|$ , we have

$\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n$

If we replace $x$ with $-6x^2$ , we get

$f(x)=\displaystyle x\sum_{n=0}^\infty\frac(-6x^2)^n=\sum_{n=0}^\infty (-6)^n x^{2n+1}$

By the ratio test, the series converges if

$\displaystyle\lim_{n\to\infty}\left|\frac{(-6)^{n+1} x^{2(n+1)+1}}{(-6)^n x^{2n+1}}\right|=6|x^2|\lim_{n\to\infty}1=6|x|^2$

Solving for $x$ gives the interval of convergence,

$|x|^2$

We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.

3 0

3 years ago

I don't know how to do this

Gre4nikov [31]

Answer:

x = -11/5 and y = 24/5

Step-by-step explanation:

Use elimination.

First, we need to multiply so that at least one variable can cancel out.

We can multiply the top equation by 2.

So we get

4x + 6y = 20

Then, we can use elimination.

The x's cancel out.

So we get 5y = 24

Or y = 24/5

Then, we can plug in this y value back into the first equation to find x.

2x + 3(24/5) = 10

2x + 72/5 = 50/5

2x = -22/5

x = -11/5

So x = -11/5 and y = 24/5

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3 years ago

Use the arc length formula and the given information to find r.. s = 16 cm, θ = 48°; r = ?

saveliy_v [14]

Answer:

The value for r is 19.1 cm

Step-by-step explanation:

We have been given that s = 16 cm, θ = 48° and we have to find the radius r.

We know the relation

$\theta=\frac{s}{r}\\\\r=\frac{s}{\theta},\text{ where }\theta \text{ is in radian}$

Hence, first of all convert the angle in radian

θ = 48°= 0.837758 radian

Therefore, we have

$r=\frac{16}{0.837758}\\\\r=19.1\text{ cm}$

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There is a pattern. Each number is added by 5. So take 22 and add 5 to get 27. Just repeat until you find your answer, which would be 42.

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Step-by-step explanation:

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