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3 years ago

Find the sum of 12/13 +(-1/3)

Mathematics

1 answer:

Arlecino [84]3 years ago

5 0

Answer:

23/39

Step-by-step explanation:

Step 1:

12/13 + ( - 1/3 )

Step 2:

36/39 - 13/39

Answer:

23/39

Hope This Helps :)

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g Use Stokes' Theorem to evaluate C F · dr where C is oriented counterclockwise as viewed from above. F(x, y, z) = 7yi + xzj + (

Sati [7]

By Stokes' theorem,

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

where $S$ is any oriented surface with boundary $C$ . We have

$\vec F(x,y,z)=7y\,\vec\imath+xz\,\vec\jmath+(x+y)\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=(1-x)\,\vec\imath-\vec\jmath+(z-7)\,\vec k$

Take $S$ to be the ellipse that lies in the plane $z=y+9$ with boundary on the cylinder $x^2+y^2=1$ . Parameterize $S$ by

$\vec s(u,v)=u\cos v\,\vec\imath+u\sin v\,\vec\jmath+(u\sin v+9)\,\vec k$

with $0\le u\le1$ and $0\le v\le2\pi$ . Take the normal vector to $S$ to be

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

Then we have

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

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

$=\displaystyle\int_0^{2\pi}\int_0^1(3u+u^2\sin v)\,\mathrm du\,\mathrm dv=\boxed{3\pi}$

5 0

3 years ago

What's the value of x in 6(x+3)=24

ra1l [238]

Answer:

X=1

Step-by-step explanation:

6 times x = 6x

6 times positive 3 = 18

6x +18 = 24

-18 -18

6x = 6

6 6

x = 1 :)

4 0

3 years ago

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Car leases generally allow only a certain number of miles to be driven. Myung’s lease included a charge of 25 cents per mile for

faust18 [17]

Answer:

36,000

Step-by-step explanation:

if you multiply 12,000 and 3 you get 36,000.

4 0

3 years ago

If ZMK APY, m M = 112 ° , m Y = 41 ° , m K = (13x 37) ° , and m A = (2y + 7) ° , find the values of x and y.

Lunna [17]

Answer

13x-37=112

13x =149

X=11.4

2y+7=41

Y=24

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2 years ago

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If you work make 15 an hour for 8 hour shift how much is that

tangare [24]

Answer:

120

Step-by-step explanation:

15*8=120

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2 years ago

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