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2 years ago

QUÉ ES EL BASTA NUMÉRICO

Mathematics

1 answer:

Lemur [1.5K]2 years ago

8 0

Answer:

relating to or expressed as a number or numbers.

Step-by-step explanation:

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Evaluate the given integral by making an appropriate change of variables, where R is the region in the first quadrant bounded by

Whitepunk [10]

$\displaystyle\iint_R\sin(384x^2+486y^2)\,\mathrm dA$

Notice that Given that $R$ is an ellipse, consider a conversion to polar coordinates:

$\begin{cases}x(r,\theta)=\frac r8\cos\theta\\y(r,\theta)=\frac r9\sin\theta\end{cases}$

The Jacobian for this transformation is

$J=\begin{bmatrix}\frac18\cos\theta&-\frac r8\sin\theta\\\frac19\sin\theta&\frac r9\cos t\end{bmatrix}$

with determinant $\det J=\frac r{72}$

Then the integral in polar coordinates is

$\displaystyle\frac1{72}\int_0^{\pi/2}\int_0^1\sin(6r^2\cos^2t+6r^2\sin^2t)r\,\mathrm dr\,\mathrm d\theta=\int_0^{\pi/2}\int_0^1r\sin(6r^2)\,\mathrm dr\,\mathrm d\theta=\boxed{\frac{\pi\sin^23}{864}}$

where you can evaluate the remaining integral by substituting $s=6r^2$ and $\mathrm ds=12r\,\mathrm dr$ .

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3 years ago

A gourmet pizza café sells three sizes of pizza: small, medium and large. To buy all three sizes, it costs a total of 46.95. If

sveta [45]

Answer:

its gowing to be eleven dollars an 46 sent11.46

6 0

3 years ago

Find the length of each arc. Round your answers to the nearest tenth. NO LINKS!! Part 1

Hatshy [7]

Answer:
5) 18.8 cm
7) 49.5 ft

Explanation:
The formula for arc length is S = θ * r

5) S = 18 cm * Pi/3 (60 degrees in radians)
S = 6 Pi cm
S ≈ 18.8 cm

7) S = 9 ft * 7 Pi / 4
S = 63 Pi ft / 4
S ≈ 49.5 ft

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3 years ago

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The second statement is the of the first. Foundations of Geometry

Elina [12.6K]

i think its c. contrapositive

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3 years ago

Read 2 more answers

The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions

AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

Step-by-step explanation:

Given that,

The Area of the rectangle is 273.

Step 1 :

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

Step 2 :

Area of the rectangle = length $\times$ width

273 = (2x - 5) x

273 = 2x^2 - 5x

Step 3 :

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

Step 4 :

Find the roots using factorizing method,

ac = 2 $\times$ -273 = -546 and b= -5

Factorizing -546 as -26 $\times$ 21

The product of -26 $\times$ 21 = -546

The sum of -26 + 21 = -5

Step 5 :

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

Step 6 :

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

= 2(10.5) - 5

= 21 - 5

length = 16 meters

5 0

3 years ago