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pantera1 [17]
3 years ago
6

NI - 16 2 Which of the following is equivalent to O 6 08 O 12 O 64

Mathematics
1 answer:
34kurt3 years ago
5 0

Answer:B

Step-by-step explanation:

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Express the integral as an iterated integral in six different ways, where E is the solid bounded by y=4-x^2-4z^2 and y=0
zmey [24]
Assuming you need the integral expressing the volume of E, the easiest setup is to integrate with respect to y first.

This is done with either

\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dx\,\mathrm dz
\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_{-2}^2\int_0^{4-x^2-z^2}\mathrm dy\,\mathrm dz\,\mathrm dx

Thanks to symmetry, integrating with respect to either x or z first will be nearly identical.

First, with respect to x:

\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dy\,\mathrm dz
\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-z^2}}\mathrm dx\,\mathrm dz\,\mathrm dy

Next, with respec to z:

\displaystyle\iiint_E\mathrm dV=\int_{-2}^2\int_0^4\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dy\,\mathrm dx
\displaystyle\iiint_E\mathrm dV=\int_0^4\int_{-2}^2\int_{-\sqrt{4-y-z^2}}^{\sqrt{4-y-x^2}}\mathrm dz\,\mathrm dx\,\mathrm dy
5 0
3 years ago
The length of a rectangle is 1 units less than the width. The area of the rectangle is 20 units. What is the width, in units, of
Degger [83]

Answer:

5

Step-by-step explanation:

20 has many factors, including 4&5.

4 is one less than 5,  so 4 is the length and 5 is our width.

5 0
3 years ago
I'm not sure how to start the process....
lesantik [10]
Step 1; both side divide by 4, you'll get Ix-10I=8
step 2: x-10=8 or x-10=-8
x=18 or x=2
3 0
3 years ago
Mr. Heath organizes a six-game tournament where players will
EleoNora [17]

9514 1404 393

Answer:

  (W, T, L, S) = (3, 2, 1, 4.1)

Step-by-step explanation:

For some number of wins (W), ties (T), and losses (L), the player's score will be ...

  score = 2.2W +0.25T -3L

For 3 wins, 2 ties, and 1 loss, the player's score is ...

  2.2(3) +0.25(2) -3(1) = 6.6 +0.5 -3 = 4.1

4 0
2 years ago
Solve the inequality:-3x-4/7 >5
Aliun [14]

x < -  \frac{13}{7}

add \frac{4}{7} to both sides

- 3x > \frac{4}{7} + \frac{35}{7}

- 3x > \frac{39}{7} ( divide both sides by - 3 )

note that when we divide/ multiply by a negative quantity we must reverse the inequality symbol

x < - \frac{13}{7}



6 0
3 years ago
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