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Alinara [238K]
3 years ago
6

How can you show that two objects are proportional with an equation

Mathematics
1 answer:
Zina [86]3 years ago
5 0
The equation has to (or be transformed to) contain one object in the left side and the other object at the right side multiplied by a constant, without an independent term.
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Use the Divergence Theorem to calculate the surface integral S F · dS; that is, calculate the flux of F across S. F(x, y, z) = x
kykrilka [37]

\vec F has divergence

\nabla\cdot\vec F=\dfrac{\partial(xye^z)}{\partial x}+\dfrac{\partial(xy^2z^3)}{\partial y}-\dfrac{\partial(ye^z)}{\partial z}=ye^z+2xyz^3-ye^z=2xyz^3

By the divergence theorem, the integral of \vec F across S is equal to the integral of \nabla\cdot\vec F over the interior of S:

\displaystyle\iiint_S\vec F\cdot\mathrm d\vec S=\int_0^1\int_0^6\int_0^32xyz^3\,\mathrm dx\,\mathrm dy\,\mathrm dz=\boxed{\frac{81}2}

8 0
3 years ago
3/7=42 what is the whole amount
postnew [5]
The fraction for this would be 42
The percentage will be 42.85714285%

6 0
3 years ago
How do you distribute 2(x + 5)
IceJOKER [234]

Answer:

2x+10

Step-by-step explanation:

to distribute you take the number on the outside of the parenthesis and multiply it with the individual values inside the parenthesis. So first you would multiply 2 times X which gives you 2x then 2 times 5 which gives you 10, then your answer would be 2x+10

5 0
3 years ago
How to solve step by step
jasenka [17]
X² = 16

the way to isolate your x variable is to square root both sides

√x² = √16
x = <span>± 4

so your answers are 4 and -4</span>
3 0
3 years ago
Question 14 (5 points)
Jobisdone [24]
Parallel = same slope
Slope = 1/2
Y = 1/2x + b
Plug in the point
0 = -1/2 + b, b = 1/2
Solution : y = 1/2x + 1/2

The answer is A
3 0
3 years ago
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