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1 year ago

Find the equation of the linear function represented by the table y0 5 10 15 x 1 2 3 4

Mathematics

1 answer:

vodomira [7]1 year ago

5 0

Answer: Therefore, your equation of the function will be y = 4x – 4.

Step-by-step explanation:

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2 years ago

Use Stokes' Theorem to evaluate S curl F · dS. F(x, y, z) = 5y cos(z) i + ex sin(z) j + xey k, S is the hemisphere x2 + y2 + z2

Alenkinab [10]

By Stokes' theorem, the integral of the curl of $\vec F$ across $S$ is equal to the integral of $\vec F$ along the boundary of $S$ , call it $C$ . Parameterize $C$ by

$\vec r(t)=2\cos t\,\vec\imath+2\sin t\,\vec\jmath$

with $0\le t\le2\pi$ . So we have

$\displaystyle\iint_S(\nabla\times\vec F)\cdot\mathrm d\vec S=\int_C\vec F\cdot\mathrm d\vec r$

$=\displaystyle\int_0^{2\pi}(10\sin t\cos 0\,\vec\imath+e^{2\cos t}\sin0\,\vec\jmath+2\cos t\,e^{2\sin t}\,\vec k)\cdot(-2\sin t\,\vec\imath+2\cos t\,\vec\jmath)\,\mathrm dt$

$=\displaystyle\int_0^{2\pi}-20\sin^2t\,\mathrm dt$

$=\displaystyle-10\int_0^{2\pi}(1-\cos2t)\,\mathrm dt=\boxed{-20\pi}$

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2 years ago

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klemol [59]

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2 years ago

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Arcsin(sin(3pi)) ...?

expeople1 [14]

The solution to the problem is as follows:

arc sin (sin 3pi) = theta
where theta is the angle ur looking for 
so that becomes 
sin (theta) = sin 3pi 
sin (theta) = 0 
theta = 0, pi

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2 years ago

What is the solution to the equation fraction 4 over 5 n minus fraction 3 over 5 equals fraction 1 over 5 n?

Andreas93 [3]

Answer:

The solution is n=1

Step-by-step explanation:

I hope you mean

4/5n-3/5=1/5n

if so then here's the solution

5n×4/5n-3/5×5n=1/5n×5n

4-3n=1

4-1=3n

3n=3

n=1

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2 years ago

Read 2 more answers

Find the equation of the linear function represented by the table y0 5 10 15 x 1 2 3 4​

Find the equation of the linear function represented by the table y0 5 10 15 x 1 2 3 4