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Anni [7]
3 years ago
5

What is 2/3 - (-2/3)

Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

4/3 (= 1 1/3)

Step-by-step explanation:

2/3 - (-2/3)

= 2/3 + 2/3

= (2+2) / 3

= 4/3

= 1 1/3

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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
3 years ago
Read 2 more answers
What is the domain of the function?<br> x + 3<br> f(x) =<br> VX + 3
ahrayia [7]

Your question is a little ambiguous, but I am assuming that you meant to say the function f(x) = x+3

Thus, I am solving your question based on assuming the function such as

f(x)=x+3

But, it would still clear your concept, no matter what the function is.

Answer:

we conclude that

\mathrm{Domain\:of\:}\:x+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

The graph is also attached.

Step-by-step explanation:

Given the function

f(x)=x+3

We know that the domain of a function is the set of input or argument values for which the function is real and defined.

As the function has no undefined points nor domain constraints.

Thus, the domain is

-\infty \:

Therefore, we conclude that

\mathrm{Domain\:of\:}\:x+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:

The graph is also attached.

3 0
3 years ago
What is the commutative property?
zhenek [66]
The commutative property pf addition is a+b=b+a
8 0
3 years ago
Read 2 more answers
2
Gre4nikov [31]

Answer:

It is 1, or A:  adding the two middle numbers

Step-by-step explanation:

When you think of it, here's an example:

15

23

55

34

Add 23 and 55:

23+55=78

We've got this now:

15

78

34

Now, all you've gotta do is find the mediam.

Hope this helped, and please mark as Brainliest <3

4 0
3 years ago
Help me for 50 points​
Sergeeva-Olga [200]

Answer:

I hope it helped U

stay safe stay happy

7 0
3 years ago
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