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3 years ago

The Bessel function or order zero of the first kind may be defined by. Find the radius of convergence of J0(x).

Mathematics

1 answer:

fenix001 [56]3 years ago

6 0

Answer:

Step-by-step explanation:

The Bessel function or order zero of the first kind may be defined by the solution - to Bessel's differential equation - which is a finite value at the origin X=0 for positive or negative whole numbers (integers) or positive alpha (α) values.

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Select the correct answer Solve this equation X+4/6x = 1/x

laila [671]

Answer:

A) x = 0, 2

Step-by-step explanation:

(x + 4) / 6x = 1 / x

this is a proportion, so you can cross-multiply and get:

x(x + 4) = 6x

x² + 4x = 6x

x² - 2x = 0

x(x - 2) = 0

x = 0

x - 2 = 0 so, x = 2

5 0

2 years ago

Please show your work!!!!

viva [34]

Answer:

4√34

Step-by-step explanation:

Let the unknown side be y

y^2 = 20^2 + 12^2

y^2 = 400 + 144

y^2 = 544

Take the square root of both side

y = √544

y = √(16x34)

y = √16 x √34

y = 4√34

6 0

3 years ago

We can define a propration as

coldgirl [10]

Comparative relationships between numbers

7 0

3 years ago

Read 2 more answers

EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

3 years ago

Two thirds of the families in smithville own their own homes. The total number of home owning families there is 480. How many fa

Leviafan [203]

X- the total number of families in Smithville.
(2/3)x - the number of home owning families.
At the same time, the number of home owning families is 480.

(2/3)x=480
x=480*3/2=720.

720 families live in Smithville.

8 0

3 years ago