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2 years ago

I just need someone to fill in all the answers

Mathematics

1 answer:

Masteriza [31]2 years ago

3 0

Answer:

1. 2

2. 25

3. 1/3

I'm in 8th grade so not 100% sure about these

I'm gonna try the rest

But this is what I got so far!

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Evaluate the surface integral ∫sf⋅ ds where f=⟨2x,−3z,3y⟩ and s is the part of the sphere x2 y2 z2=16 in the first octant, with

skad [1K]

Parameterize S by the vector function

$\vec s(u,v) = \left\langle 4 \cos(u) \sin(v), 4 \sin(u) \sin(v), 4 \cos(v) \right\rangle$

with 0 ≤ u ≤ π/2 and 0 ≤ v ≤ π/2.

Compute the outward-pointing normal vector to S :

$\vec n = \dfrac{\partial\vec s}{\partial v} \times \dfrac{\partial \vec s}{\partial u} = \left\langle 16 \cos(u) \sin^2(v), 16 \sin(u) \sin^2(v), 16 \cos(v) \sin(v) \right\rangle$

The integral of the field over S is then

$\displaystyle \iint_S \vec f \cdot d\vec s = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \vec f(\vec s) \cdot \vec n \, du \, dv$

$\displaystyle = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \left\langle 8 \cos(u) \sin(v), -12 \cos(v), 12 \sin(u) \sin(v) \right\rangle \cdot \vec n \, du \, dv$

$\displaystyle = 128 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \cos^2(u) \sin^3(v) \, du \, dv = \boxed{\frac{64\pi}3}$

8 0

1 year ago

Help right now please.

Hoochie [10]

I solved and the mean is 10

6 0

2 years ago

Read 2 more answers

0.611 convert Decimal to percentage

diamong [38]

Answer:

0.611 = 61.1%

Step-by-step explanation:

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% = p/100 = p ÷ 100.

Note:

100/100 = 100 ÷ 100 = 100% = 1

Multiply a number by the fraction 100/100,

... and its value doesn't change.

Calculate the percent value:

0.611 =

0.611 × 100/100 =

(0.611 × 100)/100 =

61.1/100 =

61.1%;

In other words:

1) Multiply that number by 100.

2) Add the percent sign % to it.

7 0

2 years ago

Which number is such that when it's ÷ 27 30 or 45 the remainder is always three

rewona [7]

Answer:

closest answer = 81

Step-by-step explanation:

81/27 = 3

81/30= 2.7

81/45 = 1.8

6 0

3 years ago

The student council wants to rent a ballroom for the junior prom. The ballroom's rental rate is $1500 for 3h and $125 for each a

Tems11 [23]

They can afford only 5 1/2 hours

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3 years ago