4 years ago

How to simplify this?

1 answer:

5 0

-2x cube + 2x cube makes 0, so u can delete it,
then 6x + 10x makes 16x,
so the final answer should be 16x+7xtothepower4

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Does anyone know this? Please help

Nesterboy [21]

A. Range would be your answer

5 0

4 years ago

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Give an algebraic example of the distributive property

dem82 [27]

A very simple example is:

$x(a+b) = (x)(a) + (x)(b) \\~\\~~~~~~~~~~~=xa+xb$

What you need to is just distribute x into the parenthesis, so once x times the first term (a) and once x times the second term (b)

I hope you got the idea

3 0

4 years ago

Use the divergence theorem to find the outward flux of the vector field F(x,y,z)=2x2i+5y2j+3z2k across the boundary of the recta

aksik [14]

Answer:

The answer is "120".

Step-by-step explanation:

Given values:

$F(x,y,z)=2x^2i+5y^2j+3z^2k \\$

differentiate the above value:

$div F =2 \frac{x^2i}{\partial x}+5 \frac{y^2j}{\partial y}+3 \frac{z^2k }{\partial z} \\$

$= 4x+10y+6z$

$\ flu \ of \ x = \int \int div F dx$

$= \int\limits^1_0 \int\limits^3_0 \int\limits^1_0 {(4x+10y+6z)} \, dx \, dy \, dz \\\\ = \int\limits^1_0 \int\limits^3_0 {(4xz+10yz+6z^2)}^{1}_{0} \, dx \, dy \\\\ = \int\limits^1_0 \int\limits^3_0 {(4x+10y+6)} \, dx \, dy \\\\ = \int\limits^1_0 {(4xy+10y^2+6y)}^3_{0} \, dx \\\\ = \int\limits^1_0 {(12x+90+18)}\, dx \\\\= {(12x^2+90x+18x)}^{1}_{0} \\\\= {(12+90+18)} \\\\=30+90\\\\= 120$