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2 years ago

I can’t figure this out, what is it?

Mathematics

1 answer:

zalisa [80]2 years ago

5 0

The rubric of 150 is the sim of the square but the area would be 59 which would equal to the amount of 50

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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

3 years ago

Find the constant of variation k for the inverse variation. Then write an equation for the inverse variation. Y=4.5 when x = 3

Nookie1986 [14]

$\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=4.5\\
x=3
\end{cases}\implies 4.5=\cfrac{k}{3}\implies 4.5(3)=k
\\\\\\
13.5=k\qquad therefore\qquad \boxed{y=\cfrac{13.5}{x}}$

8 0

3 years ago

4x+y=10 solve the missing value

nalin [4]

Answer:

Step-by-step explanation:

$4x + y = 10 \\ 4(2) + 2 = 10$

8 0

2 years ago

Brainers, please help me, please.

Iteru [2.4K]

Answer:

x = 33

Step-by-step explanation:

14 22

-------- = ---------

21 x

Cross multiply

14x = 462

x = 33

6 0

3 years ago

In this graph ___ is a function of ____. I’ll mark brainliest:)

kirill115 [55]

Value & height hope this helpedddddf

8 0

2 years ago