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Mandarinka [93]
3 years ago
10

A teacher wrote the numbers 10 ,-2, 4, 3, -1, -7 ,1 on a white board.the teacher asked which number should she write in order to

make the sum of all the numbers equal to zero?
Mathematics
1 answer:
storchak [24]3 years ago
3 0
Let x be that number:

x +10 -2 +4 + 3 - 1 - 7 +1 = 0

 x +8 = 0

and x = - 8

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3 years ago
Find the following integral
ololo11 [35]

There's nothing preventing us from computing one integral at a time:

\displaystyle \int_0^{2-x} xyz \,\mathrm dz = \frac12xyz^2\bigg|_{z=0}^{z=2-x} \\\\ = \frac12xy(2-x)^2

\displaystyle \int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy = \frac12\int_0^{1-x}xy(2-x)^2\,\mathrm dy \\\\ = \frac14xy^2(2-x)^2\bigg|_{y=0}^{y=1-x} \\\\= \frac14x(1-x)^2(2-x)^2

\displaystyle\int_0^1\int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy\,\mathrm dx = \frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx

Expand the integrand completely:

x(1-x)^2(2-x)^2 = x^5-6x^4+13x^3-12x^2+4x

Then

\displaystyle\frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx = \left(\frac16x^6-\frac65x^5+\frac{13}4x^4-4x^3+2x^2\right)\bigg|_{x=0}^{x=1} \\\\ = \boxed{\frac{13}{240}}

4 0
2 years ago
I need help wt this pls do it asap
viktelen [127]

Answer:

7/4

Step-by-step explanation:

its d because 4/7 =7/4

6 0
3 years ago
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