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inn [45]
2 years ago
14

Jaz has the following scores from a new game:

Mathematics
1 answer:
Marina86 [1]2 years ago
3 0

Answer:

the mean of it all will increase

Step-by-step explanation:

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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
The capacity of the milk pitcher on the counter is 9/10 liter each one pitcher has3/8 of milk in it and the other pitcher has 5/
KatRina [158]

Answer:

57/80L

Step-by-step explanation:

Given that the capacity (i.e maximum possible volume) of a pitcher is 9/10L

1st Pitcher is 3/8 full of milk

Hence Vol of milk in 1st pitcher = 9/10 x 3/8 = 27/80L

2nd Pitcher is 5/12 full of milk

Hence Vol of milk in 2nd pitcher = 9/10 x 5/12 = 3/8 = 30/80L

Total volume = 27/80 + 30/80 = 57/80L

4 0
3 years ago
A cake recipe calls for 3/4 cup of flour for every 1/3 teaspoon of baking powder. What is the unit rate of cups per teaspoon?
Aliun [14]

Answer:

i just looked it up and i saw 57 so i think thats it

Step-by-step explanation:

6 0
3 years ago
Math/Physics Problem <br> (I'd be glad if you solved one of them).
Whitepunk [10]

Answer:

19.2

76.8

Step-by-step explanation:

density × volume = mass

mass = 62.4 × (pi × (40/2)² × h)

mass = 78,374.4h

WD = m×9.8×h = 9.8mh

WD = 768,069.12h²

At h = 5

WD = 768,069.12×5²

= 19,201,728 ft-lb

= 19.2 million ft-lb

At h = 10

WD = 76,806,9.12 × 10²

WD = 76,806,912 ft-lb

= 76.8 million ft-lb

4 0
3 years ago
MN and KL are parallel. If JM = 6, MK = 12, and LN = 18, what is NJ?
Galina-37 [17]
6/12=X/18
Using the ratio of 18:12, you multiply 18/12 with 6, which equals 9.

Answer: NJ=9
5 0
3 years ago
Read 2 more answers
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