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3 years ago

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Find the mass of the lamina that occupies the region D and has the given density function ?. D is the triangular region with ver

tices (0, 0), (2, 1), (0, 3); ?(x, y) = 3(x + y)

1 answer:

joja [24]3 years ago

4 0

The mass of the lamina is given by

$\displaystyle\iint_Df(x,y)\,\mathrm dA=\int_{x=0}^{x=2}\int_{y=x/2}^{y=3-x}3(x+y)\,\mathrm dy\,\mathrm dx=18$

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Drag each figure to show if it is similar to the figure shown or why it is not similar

pogonyaev

similar-6x3, 5x3, 12x15
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8 0

3 years ago

Read 2 more answers

The following six independent length measurements were made (in feet) for a line: 736.352, 736.363, 736.375, 736.324, 736.358, a

horrorfan [7]

Answer:

Assuming population data

$\sigma = \sqrt{0.000354}=0.0188$

Assuming sample data

$s = \sqrt{0.000425}=0.0206$

Step-by-step explanation:

For this case we have the following data given:

736.352, 736.363, 736.375, 736.324, 736.358, and 736.383.

The first step in order to calculate the standard deviation is calculate the mean.

Assuming population data

$\mu = \frac{\sum_{i=1}^6 X_i}{6}$

The value for the mean would be:

$\mu = \frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359$

And the population variance would be given by:

$\sigma^2 = \frac{\sum_{i=1}^6 (x_i-\bar x)}{6}$

And we got $\sigma^2 =0.000354$

And the deviation would be just the square root of the variance:

$\sigma = \sqrt{0.000354}=0.0188$

Assuming sample data

$\bar X = \frac{\sum_{i=1}^6 X_i}{6}$

The value for the mean would be:

$\bar X = \frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359$

And the population variance would be given by:

$s^2 = \frac{\sum_{i=1}^6 (x_i-\bar x)}{6-1}$

And we got $s^2 =0.000425$

And the deviation would be just the square root of the variance:

$s = \sqrt{0.000425}=0.0206$

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3 years ago

Solve and write solution in interval notation 4(x+1)+3>x-5

soldi70 [24.7K]

Answer:

$\large\boxed{x\in\left(-\dfrac{13}{3},\ \infty\right)}$

Step-by-step explanation:

$4(x+1)+4>x-5\qquad\text{use the distributive property}\\\\4x+4+4>x-5\\\\4x+8>x-5\qquad\text{subtract 8 from both sides}\\\\4x>x-13\qquad\text{subtract}\ x\ \text{from both sides}\\\\3x>-13\qquad\text{divide both sides by 3}\\\\x>-\dfrac{13}{3}\to x\in\left(-\dfrac{13}{3},\ \infty\right)$

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3 years ago

In ACE, G is the centroid and BE = 9. find BG and GE

rjkz [21]

Answer:

b-g is 3

g-e is 6

Step-by-step explanation:

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4 0

3 years ago

What polynomial should be subtracted from the polynomial y^2–5y+1 to get the difference equal to: y^2

fomenos

<h3>Answer:</h3>

-5y +1

<h3>Step-by-step explanation:</h3>

Let the polynomial to be subtracted be represented by Q. Then you want ...

... (y^2 -5y +1) -Q = y^2

... (y^2 -5y +1) = y^2 +Q . . . . add Q

... (y^2 -5y +1) -y^2 = Q . . . . .subtract y^2

... -5y +1 = Q . . . . . . . . . . . . . simplify

The polynomial to be subtracted is -5y +1.

4 0

3 years ago