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Nesterboy [21]
3 years ago
6

Helllllllllllllllllllllllllllllllllllppppppppppppppppppppppp

Mathematics
1 answer:
olchik [2.2K]3 years ago
8 0
1)Not a function

2)yes

3)not a function
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????⃗ (x,y)=(3x−4y)????⃗ +2x????⃗ F→(x,y)=(3x−4y)i→+2xj→ and ????C is the counter-clockwise oriented sector of a circle centered
Karolina [17]

By Green's theorem, the integral of \vec F along C is

\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_D\left(\frac{\partial(2x)}{\partial x}-\frac{\partial(3x-4y)}{\partial y}\right)\,\mathrm dx\,\mathrm dy=6\iint_D\mathrm dx\,\mathrm dy

which is 6 times the area of D, the region with C as its boundary.

We can compute the integral by converting to polar coordinates, or simply recalling the formula for a circular sector from geometry: Given a sector with central angle \theta and radius r, the area A of the sector is proportional to the circle's overall area according to

\dfrac A{\frac\pi3\,\rm rad}=\dfrac{16\pi}{2\pi\,\rm rad}\implies A=\dfrac{8\pi}3

so that the value of the integral is

\dfrac{6\times8\pi}3=\boxed{16\pi}

6 0
4 years ago
Segment km is 22 cm long.<br><br> How long is the radius of circle N?
spin [16.1K]
Since the circumference meaning the whole line is 22 centimeters long then the radius would be half of that...sooo....22/2=11. The radius for N is 11cm...hope it helps :)
3 0
3 years ago
The sum of 3 times a number and 4 is between -8 and 10. Define a variable, write an inequality, and solve the problem.
Ilya [14]

<u>Understanding:</u>

The sum of 3 times a number (i'll define it as x) and 4 means 3x+4 is between -8 and 10 which means the value of 3x+4 is less than 10 and greater than -8. With that said, the inequality for that problem would be -8.

<u>Solving the problem:</u>

Now we know that -8, you can solve the problem by <em>subtracting 4</em> from each side then<em> dividing by 3.</em>

<em />

<em>-8-4</em>

<em />

<u>Final Answer:</u>

<u>-4</u>

6 0
3 years ago
Paul planted 20 onion bulbs. Three-fourths of the bulbs sprouted. How many onion plants did Paul have?
Airida [17]
3/4 of 20...." of " means multiply

3/4(20) = 60/4 = 15 onion plants <=
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3 years ago
HELP ASAP
lutik1710 [3]
I think A when there is an outlier
4 0
3 years ago
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