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3 years ago

A seven digit telephone number is of the form ABC-DEFG. In one particular state, the

Mathematics

1 answer:

Lina20 [59]3 years ago

6 0

Thê answer is 5.200.000

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

Crank

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.

For the middle integral we have

$y^2=4-x^2-z^2$

x is the inner integral so at this point we conservatively say its zero. That means y goes from $-\sqrt{4-z^2}$ and $+\sqrt{4-z^2}$

Similarly the inner integral x goes between $\pm-\sqrt{4-y^2-z^2}$

So we rewrite the integral

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

Let's work on the inner one,

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

There's no z in the integrand, so we treat it as a constant.

$=(x^2+xy+y^2)z \bigg|_{z=-\sqrt{4-y^2-z^2}}^{z=\sqrt{4-y^2-z^2}}$

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.

7 0

2 years ago

Read 2 more answers

Is 4.39463 a natural number

Bezzdna [24]

Answer:

i wanna say yes it is a natural number, i hope this helps

3 0

2 years ago

Read 2 more answers

What is the slope of a line perpendicular to the

Dahasolnce [82]

Answer: a. -3/5

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

You and your friend are selling your old CDs. Your friend sells 14 the first day, and x the next day. You sell y the first day a

Deffense [45]

Answer: 30+x+y

Step-by-step explanation:

Commutative Property of Addition : a+b= b+a , where a and b are any arbitrary numbers.

Given : Number of CDs sold by friend on first day = 14

Number of CDs sold by friend on next day = x

Total CDs sold by friend = 14 +x

Number of CDs sold by you on first day = 16

Number of CDs sold by you on next day = y

Total CDs sold by you = 16+y

The expression that shows the total number of CDs sold both days =

Total CDs sold by friend + Total CDs sold by you

= 14 +x+ 16+y

= 14 +(x+ 16)+y

= 14 +(16+x)+y [By Commutative Property of Addition.]

= 14+16+x+y

= 30+x+y

Hence, the expression that shows the total number of CDs sold both days :

30+x+y

6 0

2 years ago

I need only part b help me please

FrozenT [24]

Your mom should know the answer just go ask her! But it is 205 plus 980-13057 which equals to 20

8 0

2 years ago