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2 years ago

Pls help I have been trying to figure this out for days help!!

Mathematics

1 answer:

pochemuha2 years ago

4 0

Answer:

3 14 18 -31 25

Step-by-step explanation:

Is this supposed to equal something? What's the meaning?

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Can someone help me <br> 14. Determine the arc length. Give your answer to two decimal places.

Paul [167]

Answer:

19.48 m

Step-by-step explanation:

The formula that is used to find arc length is:

arc length = 2πr $(\frac{angle}{360})$

In this question, r = 9m and the angle (θ) = 124°. Substitute the values into the formula.

arc length = 2 × π × 9 × $(\frac{124}{360})$

= 2 × π × 9 × 0.3444

= 19.48 m

8 0

2 years ago

What is the function that the equation F(x)=3^x represents

Roman55 [17]

Thats an exponential function The variable x is an exponent so that is why its called exponential.

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2 years ago

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

7 0

2 years ago

What is 6,400 in scientific notation

ch4aika [34]

The answer is 64*10^2

7 0

2 years ago

Read 2 more answers

6% sales tax, hotel charges $265 find cost before tax?

Mama L [17]

265 x 0.06 = 15.9

265 - 15.9 = 249.1

249.1 is your answer

hope this helps

3 0

3 years ago

Read 2 more answers