Mathematics: Number a is 4676. number b is 10043 greater than a. number c is 2610 less than b. what is the total value of numbers a,b and c?

The answer is 40 Step-by-step explanation:Given value:Divergence Theorem: the coordinates x=2, y=2, and z=2...

Number a is 4676. number b is 10043 greater than - id4676100432683895, youugly0123

Ответ:

teescub9738

03.05.2021

Mathematics

The answer is "40"

Step-by-step explanation:

Given value:

$\ vector \ field: \\ \\ \bar F =x^2i+y^2j+zk = pi+Qj+Rk$

Divergence Theorem:

$\iint_{S}^{}\bar F ds= \iiint_{E}^{} \bigtriangledown f dv$

$\bigtriangledown f = \frac{\partial p}{\partial x}+\frac{\partial Q}{\partial y}+\frac{\partial R}{\partial z}\\\\$

=2x+2y+1

the coordinates x=2, y=2, and z=2

$=\int\limits^2_0 \int\limits^2_0 \int\limits^2_0 {(2x+2y+1)} \, dz \ dy \ dx \\\\$

$=\int\limits^2_0 \int\limits^2_0 {((2x+2y+1)z)}^{2}_0 \, \ dy \ dx \\\\=\int\limits^2_0 \int\limits^2_0 {2(2x+2y+1)} \, \ dy \ dx \\\\$

$=2\int\limits^2_0 {(2xy+y^2+y)^2_0} \, dx \\\\=2\int\limits^2_0 {(2xy+4+2)^2_0} \, dx \\\\=2[\frac{4x^2}{2}+4x+2x]^2_0\\\\=2[2x^2+6x]^2_0\\\\=2[2(2)^2+6(2)]\\\\=2[8+12]\\\\=2[20]\\\\=40$

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Number a is 4676. number b is 10043 greater than a. number c is 2610 less than b. what is the total value of numbers a,b and c?

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