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3 years ago

Points A(8,4)&B(-2,4) lie on a line .AB is parallel to which axis

Mathematics

1 answer:

IRINA_888 [86]3 years ago

8 0

If the line is parallel they will have the same slope

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Simplify the following expression: 48⋅47

xxTIMURxx [149]

Answer:

2256

Step-by-step explanation:

you simply multiply the two together

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3 years ago

I need help with 15,19,17 Negative exponents

Hoochie [10]

15) 4m^2
17)9n^6
198a^2 (^ = power of)

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2 years ago

Simplify (3m²n4)3 O 9m5 n? O 9m6n12 O 27mn12 O 27mn?

Lana71 [14]

Answer:

(3m2n4)^3

Step-by-step explanation:

This deals with raising to a power.

(3m2 • (n4))3

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n4 raised to the 3 rd power = n( 4 * 3 ) = n12

7 0

3 years ago

Consider the following region R and the vector field F. a. Compute the two-dimensional curl of the vector field. b. Evaluate bo

Shalnov [3]

Looks like we're given

$\vec F(x,y)=\langle-x,-y\rangle$

which in three dimensions could be expressed as

$\vec F(x,y)=\langle-x,-y,0\rangle$

and this has curl

$\mathrm{curl}\vec F=\langle0_y-(-y)_z,-(0_x-(-x)_z),(-y)_x-(-x)_y\rangle=\langle0,0,0\rangle$

which confirms the two-dimensional curl is 0.

It also looks like the region $R$ is the disk $x^2+y^2\le5$ . Green's theorem says the integral of $\vec F$ along the boundary of $R$ is equal to the integral of the two-dimensional curl of $\vec F$ over the interior of $R$ :

$\displaystyle\int_{\partial R}\vec F\cdot\mathrm d\vec r=\iint_R\mathrm{curl}\vec F\,\mathrm dA$

which we know to be 0, since the curl itself is 0. To verify this, we can parameterize the boundary of $R$ by

$\vec r(t)=\langle\sqrt5\cos t,\sqrt5\sin t\rangle\implies\vec r'(t)=\langle-\sqrt5\sin t,\sqrt5\cos t\rangle$

$\implies\mathrm d\vec r=\vec r'(t)\,\mathrm dt=\sqrt5\langle-\sin t,\cos t\rangle\,\mathrm dt$

with $0\le t\le2\pi$ . Then

$\displaystyle\int_{\partial R}\vec F\cdot\mathrm d\vec r=\int_0^{2\pi}\langle-\sqrt5\cos t,-\sqrt5\sin t\rangle\cdot\langle-\sqrt5\sin t,\sqrt5\cos t\rangle\,\mathrm dt$

$=\displaystyle5\int_0^{2\pi}(\sin t\cos t-\sin t\cos t)\,\mathrm dt=0$

7 0

3 years ago

Which statement of the function is true ????

Lera25 [3.4K]

B is the answer when the parabola is facing down it is negative

3 0

3 years ago

Read 2 more answers