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3 years ago

Simplify: (14^615^5)/(35^66^5)

Mathematics

1 answer:

topjm [15]3 years ago

3 0

Answer:

2/5

Step-by-step explanation:

=(2*7)^6 * (3*5)^5/ (7*5)^6 * (2*3)^5

=(2^6 * 7^6) * ( 3^5 * 5^5) / (7^6 * 5^6) * ( 2^5* 3^5)

=2^5 * 2^1 * 5^5/ 5^5 * 5^1 *2^5

=2/5

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icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

$\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}$

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

$y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}$

$y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}$

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It is linear differential equation because this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

$y'+P(x)y=g(x)$

$P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}$

$\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}$

Homogeneous equation

$\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}$

Degree of f and g are same.

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Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0

3 years ago

Find the area of the figure,<br>(Sides meet at night angles.)<br><br>

Pavel [41]

Answer:

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Step-by-step explanation:

Find the area of the vertical rectangle

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3 years ago

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Answer:

Step-by-step explanation:

Y-4<3x-1

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3 years ago

A right cone has a slant height of 17 feet, and the diameter of the base is 16 feet. What is the height, h, of the cone?

Pepsi [2]

The height of the cone is 18.79 ft.

Step-by-step explanation:

Given,

The slant height (l) of the cone = 17 ft

The diameter = 16 ft

So, the radius (r) = 8 ft

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Formula

By Pythagoras theorem,

Perpendicular²+ base² = height²

Now,

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Hence,

The height of the cone is 18.79 ft.

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3 years ago

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Answer:

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Step-by-step explanation:

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4 years ago

Simplify: (14^6*15^5)/(35^6*6^5)​

Simplify: (14^615^5)/(35^66^5)