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3 years ago

HELP! Number 13 please! Any other help would be amazing too.

Mathematics

2 answers:

juin [17]3 years ago

7 0

The answer is probably d

Svetach [21]3 years ago

7 0

Answer:

it should be #2

Step-by-step explanation:

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in the 2010 new york city marathon 42429 people finished the race and received a medal before the race the medals had to be orde

Rufina [12.5K]

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5 0

3 years ago

Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 2yi + xzj + (x

Lady_Fox [76]

By Stokes' theorem, the line integral of $\vec F$ over $C$ is given by the surface integral of the curl of $\vec F$ over $S$ , where $S$ is the region of intersection of the plane $z=y+6$ and the cylinder $x^2+y^2=1$ with $S$ having positive/upward orientation.

Parameterize $S$ by

$\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(u\sin v+6)\,\vec k$

with $0\le u\le1$ and $0\le v\le2\pi$ .

Take the normal vector to $S$ to be

$\vec s_u\times\vec s_v=-u\,\vec\jmath+u\,\vec k$

The curl of $\vec F$ is

$\nabla\times\vec F(x,y,z)=(1-x)\,\vec\imath-\vec\jmath+(z-2)\,\vec k$

Then the line integral is equivalent to

$\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S$

$=\displaystyle\int_0^{2\pi}\int_0^1\bigg((1-u\cos v)\,\vec\imath-\vec\jmath+(u\sin v+4)\,\vec k\bigg)\cdot\bigg(-u\,\vec\jmath+u\,\vec k\bigg)\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^{2\pi}\int_0^1(5u+u^2\sin v)\,\mathrm du\,\mathrm dv=\boxed{5\pi}$

4 0

3 years ago

Curtis decided to go on a road trip to Canada. On the first day of his trip, he drove for 15 hours and traveled 1,005 miles. At

Radda [10]

Answer:

Step-by-step explanation:

1,005 / 15 = 67

3 0

3 years ago

Read 2 more answers

If n is a positive even number, then the product of (-12)ⁿ will be what

kipiarov [429]

Answer:

a positive even number.

Step-by-step explanation:

I suggest plugging in random positive even numbers and finding a pattern. (-12)^2 = 144. (-12)^ 4= 20,736. this is because two negatives, when multiplied, turn to a positive. the n is how many times negative 12 is multiplied with itself

3 0

3 years ago

Solve the system by substitution.

tino4ka555 [31]

As we know y=3/4x-3
Let's put it in the second equation
3/4x-3=1/4x+1
3/4 x -1/4 x = 1+3
2/4 x = 4
X= 4*4/2
x=8
Put x= 8 in first equation
y= 3/4 *8 -3
y=6-3
y=3
Check the answer
3=3/4 *8 -3
3=6-3
3=3
Correct
So(y, x) = (3,8)
Because x=8 and y=3

3 0

3 years ago