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brilliants [131]

3 years ago

9

Match each equation with a diagram:

1 answer:

frosja888 [35]3 years ago

5 0

B-1
A-4
C2
D-3

Hope it helped ;)

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Use Green's Theorem to calculate the circulation of F =2xyi around the rectangle 0≤x≤8, 0≤y≤3, oriented counterclockwise.

Tamiku [17]

Green's theorem says the circulation of $\vec F$ along the rectangle's border $C$ is equal to the integral of the curl of $\vec F$ over the rectangle's interior $D$ .

Given $\vec F(x,y)=2xy\,\vec\imath$ , its curl is the determinant

$\det\begin{bmatrix}\frac\partial{\partial x}&\frac\partial{\partial y}\\2xy&0\end{bmatrix}=\dfrac{\partial(0)}{\partial x}-\dfrac{\partial(2xy)}{\partial y}=-2x$

So we have

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_D-2x\,\mathrm dx\,\mathrm dy=-2\int_0^3\int_0^8x\,\mathrm dx\,\mathrm dy=\boxed{-192}$

6 0

3 years ago

5 1/2+ 3 2/3+ 1 4/5

Mazyrski [523]

Answer:

$10\frac{29}{30}$

Step-by-step explanation:

$5\frac{1}{2} +3\frac{2}{3} +1\frac{4}{5}$

Let us group the integers and the fractions.

$5\frac{1}{2} +3\frac{2}{3} +1\frac{4}{5}$ = $(5+3+1)+(\frac{1}{2} +\frac{2}{3}+\frac{4}{5} )$

= $9+\frac{15+20+24}{30}$

$= 9+\frac{59}{30}$

$=9+1\frac{29}{30}$

$=10\frac{29}{30}$

7 0

3 years ago

You have an order that shows $32.50 for items the customer put into their “cart” and the shipping will be 3.00 for them. If they

olga2289 [7]

The sales tax would be 8.875% added onto the normal cost. This would make the grand total $35.76.

Have a nice day!

8 0

3 years ago

Claudio needs to simplify the expression below.

Dmitrij [34]

All purpose calc.com one with the words on the web with a smiley calc type only the problem in no words

8 0

4 years ago

Read 2 more answers

Find a4 for the arithmetic series with S4=-36 and a1=9

erastova [34]

ANSWER

The 4th term is -27

EXPLANATION

The sum of the first n-terms of an arithmetic sequence is

$S_n= \frac{n}{2} (2a_1+d(n-1))$

It was given that,

$S_4 = - 36$

$a_1 = 9$

$- 36= \frac{ 4}{2} (2 \times 9+d(4-1))$

$-36=2(18+3d)$

$-18=18+3d$

$-18 - 18 = 3d$

$3d = - 36$

$d = - 12$

The n-term is given by:

$a_n=a_1+ (n-1)d$

We substitute n=4 to get,

$a_4=9+ (4-1) \times -12$

$a_4=9+ 3\times -12$

$a_4=9 - 36$

$a_4= - 27$

5 0

3 years ago