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Alenkasestr [34]
2 years ago
14

Evaluate the triple integral_E x^6e^y dV where E is bounded by the parabolic cylinder z = 25 - y^2 and the planes z = 0, x = 5,

and x = -5.
Mathematics
1 answer:
Nimfa-mama [501]2 years ago
4 0

Nothing crazy here, just a matter of figuring out the limits of integration.

\displaystyle\iiint_Ex^6e^y\,\mathrm dV=\int_{-5}^5\int_{-5}^5\int_0^{25-y^2}x^6e^y\,\mathrm dz\,\mathrm dy\,\mathrm dx

=\displaystyle\int_{-5}^{-5}\int_{-5}^5x^6e^y(25-y^2)\,\mathrm dy\,\mathrm dx

=\displaystyle\left(\int_{-5}^5x^6\,\mathrm dx\right)\left(\int_{-5}^5e^y(25-y^2)\,\mathrm dy\right)=\boxed{\frac{625,000(3+2e^{10})}{7e^5}}

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PLEASE HELPPP!!!! Will give brainiest!!!!
Lady_Fox [76]

Answer:

  • 0.008 °C

Explanation:

<u>1) Write the changes in the temperature of the city over the 4 days in an easy way to read.</u>

<u />

  • 1.34 °C
  • - 5 / 7 °C
  • - 0.75 °C
  • 4/9 ° C

<u />

<u>2) Write the expression to show the average daily change in temperature.</u>

The average of a set of data is calculated with the expression:

  • Average = (sum of the data) / amount of data

Hence, you need to add the four change of temperature data and divide by 4.

The expression is:

  • Average =  [ 1.34 °C + (- 5 / 7 °C) + ( - 0.75 °C) + 4/9 ° C ] / 4

<u>3) Write the steps to solve the expression:</u>

You can choose between adding  fractions or adding the decimal forms of the numbers.

If you choose adding decimals, keep the complete decimals in your calculator, to avoid the accumulation of errors due to rounding. Round only the final result.

These are the steps.

<u>a. Find the decimal forms of the fractions:</u>

  • - 5/7  ≈ 0.71428
  • 4 /9 ≈ 0.44444

<u>b. Add the four data:</u>

  • 1.34°C + (- 0.71428 °C) + (-0.75 °C) + 0.44444 °C ≈ 0.32019 °C

<u />

<u>c. Divide the sum by the number of data (4)</u>

  • 0.32019 °C / 4 ≈ 0.080004 °C

<u>4. Round to the nearest hundredth</u>

The place of the hundreth is the second after the decimal point, which is 8 in this case:

  • 0.080004 °C ≈ 0.08 °C

7 0
2 years ago
If x is a positive integer, then x is _____ negative.
faltersainse [42]
A. never

because you are limiting x from 0 to infinite, and all of these are positive.
3 0
2 years ago
A. Incorrect; the student should add 8 + 2 to calculate the x-coordinate and should add 5 + 9 to calculate the y-coordinate. B.
likoan [24]

Answer:

A

Step-by-step explanation:

I think it’s a based on what you given

3 0
2 years ago
What is the median of the following string of values?<br>16, 95, 3, 37.97. 13, 27.42, 64, 14​
liubo4ka [24]

Answer:

21.71

Step-by-step explanation:

1) you need to order then by the size

      3, 13, 14, 16, 27.42, 37.97 ,64, 95

2) if there is an odd amount of numbers then the median would be the center term. but if it an even number then you add the two middle terms together and divide them by 2.

     16+27.42= 43.42

     43.42 divided by 2=21.71

Hope this helped

4 0
3 years ago
Anyone know this?????
pishuonlain [190]
If I’m not wrong the answer should be 75
5 0
2 years ago
Read 2 more answers
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