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ahrayia [7]
3 years ago
6

Find a polynomial of degree 3 with zeros of 4, 2i and -2i

Mathematics
1 answer:
andre [41]3 years ago
7 0
(x-4)(x-2i)(x+2i)=\\
(x-4)(x^2+4)=\\
x^3+4x-4x^2-16=\\
x^3-4x^2+4x-16
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How do you add and subtract polynomials?
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Reverse the sign of each term you are subtracting and then add as usual. Hope this helps!

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3 years ago
At the beginning of June, Max and Sean start saving money for the fair, which occurs 10 weeks later. Sean
Murrr4er [49]

Answer:

Step-by-step explanation:

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Find a particular solution to y" - y + y = 2 sin(3x)
leonid [27]

Answer with explanation:

The given differential equation is

y" -y'+y=2 sin 3x------(1)

Let, y'=z

y"=z'

\frac{dy}{dx}=z\\\\d y=zdx\\\\y=z x

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z'-z+zx=2 sin 3 x

z'+z(x-1)=2 sin 3 x-----------(1)

This is a type of linear differential equation.

Integrating factor

     =e^{\int (x-1) dx}\\\\=e^{\frac{x^2}{2}-x}

Multiplying both sides of equation (1) by integrating factor and integrating we get

\rightarrow z\times e^{\frac{x^2}{2}-x}=\int 2 sin 3 x \times e^{\frac{x^2}{2}-x} dx=I

I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx -\int \frac{2\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx-\frac{2I}{3}\\\\\frac{5I}{3}=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{5}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{5} dx

8 0
3 years ago
State the inverse of the ordered pair:(−8,3).
nevsk [136]

Answer:

i d k

Step-by-step explanation:

4 0
3 years ago
A bird cage hangs 5 feet off the floor in Mr. Gruber's kitchen with Judy the canary chirping away inside it. Paddington the cat
ANTONII [103]

3.906m

Step-by-step explanation:

from the topic angle of elevation and depression

putting down the above question diagrammatically

we have a triangle

The angle of elevation pad looking up = 38°

using the tangent rule TOA

TAN∅= OPPOSITE/ADJACENT

we have

tan 38° = x/5

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x= 0.781 * 5

x = 3.906m

6 0
3 years ago
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