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3 years ago

You have taken up gardening for relaxation and have decided to fence in your new

Mathematics

1 answer:

daser333 [38]3 years ago

7 0

Answer:

13 meters

Step-by-step explanation:

Adjacent sides form half the perimeter, so the sum of the unknown side and the given side is 34/2 = 17 meters.

4 meters + width = 17 meters

width = 13 meters . . . . . subtract 4 meters

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How to rewrite√-49 -4 in complex number notation

stira [4]

Sqrt(49)*sqrt (-1) -4 = 7i-4

5 0

3 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

3 years ago

64 ft of rope weighs 20 pounds 28 ft of rope weighs x pounds

castortr0y [4]

Answer

89.6

Step-by-step explanation:

Each foot of rope weighs 3.2 so then mutiplied 3.2 by 28 and got that

4 0

3 years ago

Many golfers wear wrist bracelets containing magnets because they claim the magnets improve balance and the length of shots play

LuckyWell [14K]

I think my answer is a because it can’t be B and it can’t be C and it can’t be D so my answer is a

7 0

2 years ago

Read 2 more answers

Need help ASAP please

OlgaM077 [116]

Step-by-step explanation:

sue = 18 sweets

tony= 18 sweets

(sue) S= (18 - x)-5

(tony) T=(18 + x) ÷ 2

hope this helps :)

6 0

2 years ago