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spin [16.1K]
3 years ago
10

Graph a line with a slope of 2/5 that contains the point(-2,4)

Mathematics
1 answer:
fomenos3 years ago
7 0

Answer:

(-2, 4) (3, 6)

Step-by-step explanation:

I think this would be correct? haha

y2-y1/x2-x1

6-4=2,3--2(or 3+2 because 2 negatives make a positive)=5, so 2/5.

I hope this helps :)

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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, i only get 2 chances to answer, and this is my last change, and i need help with math so bad
likoan [24]
67 percent
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6 0
3 years ago
The center of a circle is at the origin. and endpoint of a diameter of the circle is at (-3, -4. how long is the diameter of the
Aleks [24]
The diameter is 10:

To do this we must use the distance formula:

Distance =√(x2−x1)^2+(y2−y1)^2

So, if we substitute in our values for the origin and endpoint (origin is 1 values, endpoint is 2)

D=✓(-4-0)^2+(-3-0)^2

Simplified, this is

D=✓16+9
D=✓25
D=5

so, the distance from the center of the crcle to the endpoint is 5 (making the radius)

multiply by two, and the diameter of the circle is 10 :)
4 0
2 years ago
I don't understand this at all, please help!
anastassius [24]

Answer:

hi dude

Step-by-step explanation:

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3 years ago
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The correct answer is B


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