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Ksju [112]
3 years ago
11

Use polar coordinates to find the volume of the given solid. Bounded by the paraboloid z = 6 + 2x2 + 2y2 and the plane z = 12 in

the first octant
Mathematics
1 answer:
ololo11 [35]3 years ago
6 0

Answer:

\frac{9\pi }{4}

Step-by-step explanation:

Paraboloid z = 6 + 2x^2 + 2y^2 ----- ( 1 )

plane z = 12

equation 1 becomes

12 = 6 + 2( x^2 + y^2 )

hence : ( x^2 + y^2 )  = 3

This shows that the solid lies under the parabolic and above the disk  0 : x^2 + y^2 ≤ 3

attached below is the remaining part of the solution

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Adam proposes that his mother changes his allowance according to the
olga2289 [7]

Answer:

a.) $3.20

b.) $102.40

$3,276.80

Step-by-step explanation:

0.2 times 2 five times is 3.2

0.2 times 2 ten times is 102.4

0.2 times 2 fifteen times is 3,276.8

7 0
3 years ago
What is the answer to 6(1+8n)=-39+3n
MissTica

For this case we must simplify the following expression:

6 (1 + 8n) = - 39 + 3n

We apply distributive property on the left side of the equation:

6 * 1 + 6 * 8n = -39 + 3n\\6 + 48n = -39 + 3n

We subtract 3n from both sides of the equation:

6 + 48n-3n = -39\\6 + 45n = -39

We subtract 6 from both sides of the equation:

45n = -39-6\\45n = -45

We divide between 45 on both sides of the equation:

n = \frac {-45} {45}\\n = -1

Answer:

n = -1

5 0
3 years ago
3. E, F and G are collinear points. E is between F and G.
nikdorinn [45]

Answer:

<h2>A. 4 in</h2>

Step-by-step explanation:

Collinear points are points that lies on the same straight line. If the points E, F and G are collinear points, then the three points lies on the same straight line.

If E is between F and G, the FE+EG = FG

EG = FG - FE

Given FE = 3 in and FG = 7 in

On substituting into the expression above to get EG;

EG = 7in - 3in

EG = 4in

Hence the length of EG is 4in

5 0
3 years ago
Find the sum or difference.<br> (6x + 5) + (-3x + 7)
emmainna [20.7K]

Answer:

3x+12 is the sum

9x-2 is differences

Step-by-step explanation: Combine like terms

5 0
3 years ago
The sum of the digits of
liberstina [14]

Answer:

37

Step-by-step explanation:

3 + 7 = 10

73 - 37 = 36

3 0
2 years ago
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