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2 years ago

My question is c is not less than zero

Mathematics

2 answers:

fenix001 [56]2 years ago

4 0

Answer:

POKKKKKKK

Step-by-step explanation:

Firlakuza [10]2 years ago

4 0

Ok well that’s the statement c is not less then zero solve the rest

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Use the given transformation x=4u, y=3v to evaluate the integral. ∬r4x2 da, where r is the region bounded by the ellipse x216 y2

exis [7]

The Jacobian for this transformation is

$J = \begin{bmatrix} x_u & x_v \\ y_u & y_v \end{bmatrix} = \begin{bmatrix} 4 & 0 \\ 0 & 3 \end{bmatrix}$

with determinant $|J| = 12$ , hence the area element becomes

$dA = dx\,dy = 12 \, du\,dv$

Then the integral becomes

$\displaystyle \iint_{R'} 4x^2 \, dA = 768 \iint_R u^2 \, du \, dv$

where $R'$ is the unit circle,

$\dfrac{x^2}{16} + \dfrac{y^2}9 = \dfrac{(4u^2)}{16} + \dfrac{(3v)^2}9 = u^2 + v^2 = 1$

so that

$\displaystyle 768 \iint_R u^2 \, du \, dv = 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2 \, du \, dv$

Now you could evaluate the integral as-is, but it's really much easier to do if we convert to polar coordinates.

$\begin{cases} u = r\cos(\theta) \\ v = r\sin(\theta) \\ u^2+v^2 = r^2\\ du\,dv = r\,dr\,d\theta\end{cases}$

Then

$\displaystyle 768 \int_{-1}^1 \int_{-\sqrt{1-v^2}}^{\sqrt{1-v^2}} u^2\,du\,dv = 768 \int_0^{2\pi} \int_0^1 (r\cos(\theta))^2 r\,dr\,d\theta \\\\ ~~~~~~~~~~~~ = 768 \left(\int_0^{2\pi} \cos^2(\theta)\,d\theta\right) \left(\int_0^1 r^3\,dr\right) = \boxed{192\pi}$

3 0

2 years ago

Rick is on a bicycle trip. Every 444 days he bikes 230 \text{ km}230 km230, space, k, m.If Rick keeps this same pace for 161616

Katarina [22]

For this problem, we use the approach of ratio and proportion. Assuming that the given ratio of 444 days per 230 km is constant all throughout, we can determine the number of days or distance as long as one of the two is given. In this case, the solution is as follows:

444 days/230 km = 161616 days/distance
Distance = 83,720 km

4 0

2 years ago

So that you get points answer this easy question <br> 2 - 1

Nataly [62]

Answer:

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Please help its very hard

allochka39001 [22]

This histogram is skewed to the left and its distribution's center would be three (3).

<h3>What is a histogram?</h3>

A histogram is used to graphically represent a set of data points into user-specified ranges, especially through the use of rectangular bars.

In this scenario, we can infer the following about the histogram distribution's center, spread, and overall shape:

This histogram is skewed to the left.

Its distribution's center would be three (3).

The spread implies that more students are between 58-59 and 60-61 inches.

The shape shows that many of the values are at the lower end.

Read more on histogram here: brainly.com/question/21304143

#SPJ1

8 0

1 year ago

In trapezoid KLMN, solve for x ,then use that value to solve for

Andre45 [30]

Answer:

<u>Same side angles are supplementary</u>

L+k=180

18x-18+72=180

18x=126

x=7

m∠18(7)-18

= 108°

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hope it helps...

have a grat day

3 0

2 years ago

My question is c is not less than zero​

My question is c is not less than zero