2 years ago

Find the conjugate and product of i3 + i7

Mathematics

1 answer:

abruzzese [7]2 years ago

5 0

Answer:

Complex conjugate: 2i
Product: -2i

You might be interested in

Identify the radical expression 61/4

d1i1m1o1n [39]

It is 24 its been a while since ive done this

6 0

2 years ago

Read 2 more answers

What's the equation for this problem? Please help!! It's due tomarrow

prohojiy [21]

Wth diaiqowjqksosjshbssbbsjsoaiajw

5 0

2 years ago

A different triangle is graphed on the coordinate plane. Two of its vertices are located at (−10,3) and (0,−20) . The third vert

Furkat [3]

Answer:

Step-by-step explanation:

sorry i tried my best i think its like a 30

7 0

2 years ago

Read 2 more answers

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

Vera and her roommates ate 1 1/3 pints of ice cream on Friday night and 1 1/6 pints of ice cream on Saturday night. How many pin

Andreas93 [3]

1 1/3 + 1 1/6

add the 1 +1 = 2

add 1/3 + 1/6 ( find common denominator, which in this case is 6)

so 1/3 becomes 2/6

2/6 + 1/6 = 3/6 which reduces to 1/2

they ate 2 1/2 pints total

3 0

3 years ago

Find the conjugate and product of i3 + i7 ​

Find the conjugate and product of i3 + i7