-1/5(x-4)=-2 solve for x plz help !!!!

Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z = xyi + 5zj + 7yk,

Helga [31]

The intersection can be parameterized by

$C:=\mathbf r(t)=\begin{cases}x(t)=6\cos t\\y(t)=6\sin t\\z(t)=5-6\cos t\end{cases}$

with $0\le t$ .

By Stoke's theorem, the integral of $\mathbf f(x,y,z)=xy\,\mathbf i+5z\,\mathbf j+7y\,\mathbf k$ along $C$ is equivalent to

$\displaystyle\int_C\mathbf f(x(t),y(t),z(t))\cdot\mathrm d\mathbf r(t)=\iint_S\nabla\times\mathbf f\,\mathrm dS$

where $S$ is the region bounded by $C$ . The line integral reduces to

$\displaystyle\int_0^{2\pi}(36\sin t\cos t\,\mathbf i+(25-30\cos t)\,\mathbf j+42\sin t\,\mathbf k)\cdot(-6\sin t\,\mathbf i+6\cos t\,\mathbf j+6\sin t\,\mathbf k)\,\mathrm dt$
$=\displaystyle\int_0^{2\pi}(54(\cos3t-\cos t)-30(3\cos2t-5\cos t+3)+(126-126\cos2t)\,\mathrm dt$
$=\displaystyle\int_0^{2\pi}(36+96\cos t-216\cos2t+54\cos3t)\,\mathrm dt$
$=72\pi$

4 0

3 years ago

Mr smith 6 hours earned 267. how much did he earn per hour

Pepsi [2]

Answer: $44.50 per hour

Step-by-step explanation:

so easy

6hrs=$267

divide by 6 on both sides

1hr=$44.50

5 0

3 years ago

For the purpose of determining the value of its end-of-year inventory, a clothing store creates a list at the end of the year of

weeeeeb [17]

Answer:

e. A census, because the wholesale prices of all items are listed.

Step-by-step explanation:

A census encompasses collecting data of an entire population as well evaluation of the characteristics of an entire population. Every item currently in store alongside their wholesale price was included in the survey here. None was excluded. So we cannot call the activity a sample survey. Since all items were counted, the best description to give to this activity is "a census".

3 0

2 years ago

Please help i rlly need help

lyudmila [28]

Answer:

Light, Volume

Step-by-step explanation:

The volume of sound; the loudness or softness of a musical passage.

3 0

2 years ago

Nicole has nine dollars to spend on cards she finds friends with the same amount of money to split the cost of a set once it cos

anyanavicka [17]

Answer:

Each Friend will get $\frac{x}{3}$ cards.

Step-by-step explanation:

Let the number of cards be x.

Given:

Amount Nicole used to spend on cards = $9

Total cost of one set =$27

Also, she finds friends with the same amount of money to split the cost of a set.

So, Number of friends she finds can be calculated by dividing the Cost of 1 set with amount of money Nichole used to spend on cards.

Number of friends she finds = $\frac{27}{9} = 3$

Hence she finds 2 friends and 1 is nichole hence there are 3 persons carrying $9 to buy $27 set of card

Now, Number of cards each friend gets is equal to Total number of Cards in 1 set divided by number of people.

Number of cards each friend = $\frac{x}{3}$

Hence Each Friend will get $\frac{x}{3}$ cards.

4 0

3 years ago