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3 years ago

15 over 1000 wrote in scientific notation

Mathematics

1 answer:

Katena32 [7]3 years ago

3 0

Answer:

1.5*10^-2

Step-by-step explanation:

You mean 15/1000 written in scientific notation?

In this case, it would be- 1.5*10^-2.

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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

2 years ago

please help me?!?! find this number : 9 times a two-digit number is 3 greater than 5 times the same number with the digits rever

kolezko [41]

The number would be 12. If you substitute you will find that 12 is correct.

8 0

4 years ago

Please Help Me!!!!!!

Anna35 [415]

1 and 2 both have 1/4th slope, (2 is y=.25x +2.8)

3 has 1/4th slope, (y = 1/4x - 8/5)

4 has a -1/4th slope.

H would be correct as all the others have a 1/4th slope and IV is only one with a -1/4th slope

8 0

4 years ago

enot [183]

Answer:

y = 5/2x

y = 35/2

Step-by-step explanation:

direct variation

y = kx

Substitute the values for x and y

15 = k(6)

Divide each side by 6 yo find k

15/6 = k

5/2 = k

The equation is y = 5/2 x

Now we know x =7

y = 5/2(7)

y = 35/2

8 0

4 years ago

Read 2 more answers

Find the missing value that makes each of the following pairs equivalent <br><br> 4 = [] 10

dusya [7]

Answer:

I think missing values is -4

3 0

3 years ago

15 over 1000 wrote in scientific notation​

15 over 1000 wrote in scientific notation