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3 years ago

NEED HELP WITH A MATH QUESTION

Mathematics

1 answer:

miv72 [106K]3 years ago

7 0

Answer:

(- 6, 6 )

Step-by-step explanation:

Assuming the centre of dilatation is the origin, then

The coordinates of the image points are 3 times the original points

B = (- 2, 2 ), then

B' = ( 3 × - 2, 3 × 2 ) = (- 6, 6 )

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Hi guys, can anyone help me with this triple integral? Many thanks:)

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Another triple integral. We're integrating over the interior of the sphere

$x^2+y^2+z^2=2^2$

Let's do the outer integral over z. z stays within the sphere so it goes from -2 to 2.

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$\displaystyle\int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dz$

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So the middle integral is

$\displaystyle\int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}}2(x^2+xy+y^2)\sqrt{4-y^2-z^2} \ dy$

I gotta go so I'll stop here, sorry.

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