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2 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

1 answer:

ololo11 [35]2 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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Step-by-step explanation:

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Norma-Jean [14]

Answer:

$x = 0$

Step-by-step explanation:

Given

$(x_1,y_1) = (3,0)$

$(x_2,y_2) = (-3,0)$

Required

The equation of the perpendicular bisector.

First, calculate the midpoint of the given endpoints

$(x,y) = 0.5(x_1 + x_2, y_1 + y_2)$

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Open bracket

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Next, determine the slope of the given endpoints.

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$m = \frac{0 - 0}{-3- 3}$

$m = \frac{0}{-6}$

$m = 0$

Next, calculate the slope of the perpendicular bisector.

When two lines are perpendicular, the relationship between them is:

$m_2 = -\frac{1}{m_1}$

In this case:

$m = m_1 = 0$

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$m_2 = -\frac{1}{0}$

$m_2 = unde\ fined$

Since the slope is $unde\ fined$ , the equation is:

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2 years ago

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olchik [2.2K]

Jessica will need to continue knitting for 4 nights.

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8cm / 2cm = 4 nights

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2 years ago

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Answer:

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Step-by-step explanation:

(3x-5)+(5x+1)

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3 years ago

A college Statistics class conducted a survey concerning community attitudes about the college's large homecoming celebration. T

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Answer:

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