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Komok [63]
3 years ago
15

Assessment: Complete the table below.

Mathematics
1 answer:
lions [1.4K]3 years ago
6 0

According to Anime Master Ooga Booga, math must not interfere in the ways of anime which are very sacred and ancient. we shall now start the ooga booga ritual in honor of Ooga Booga the First

OOGA BOOGA OOGA BOOGA OOGA BOOOGGAAAA!!!!!!

U have shown us the ways of anime and we thank u

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In a video game, the player can choose a character from 4 animal characters and 3 human characters. Players can also let the com
jeka94
The answer is 3/7 (Three over seven). You ADD the number of total possibilities (animal characters + human characters = 7 total characters) for the denominator and put in the number (or section) you're looking at as the numerator
4 0
4 years ago
Read 2 more answers
For each vector field f⃗ (x,y,z), compute the curl of f⃗ and, if possible, find a function f(x,y,z) so that f⃗ =∇f. if no such f
butalik [34]

\vec f(x,y,z)=(2yze^{2xyz}+4z^2\cos(xz^2))\,\vec\imath+2xze^{2xyz}\,\vec\jmath+(2xye^{2xyz}+8xz\cos(xz^2))\,\vec k

Let

\vec f=f_1\,\vec\imath+f_2\,\vec\jmath+f_3\,\vec k

The curl is

\nabla\cdot\vec f=(\partial_x\,\vec\imath+\partial_y\,\vec\jmath+\partial_z\,\vec k)\times(f_1\,\vec\imath+f_2\,\vec\jmath+f_3\,\vec k)

where \partial_\xi denotes the partial derivative operator with respect to \xi. Recall that

\vec\imath\times\vec\jmath=\vec k

\vec\jmath\times\vec k=\vec i

\vec k\times\vec\imath=\vec\jmath

and that for any two vectors \vec a and \vec b, \vec a\times\vec b=-\vec b\times\vec a, and \vec a\times\vec a=\vec0.

The cross product reduces to

\nabla\times\vec f=(\partial_yf_3-\partial_zf_2)\,\vec\imath+(\partial_xf_3-\partial_zf_1)\,\vec\jmath+(\partial_xf_2-\partial_yf_1)\,\vec k

When you compute the partial derivatives, you'll find that all the components reduce to 0 and

\nabla\times\vec f=\vec0

which means \vec f is indeed conservative and we can find f.

Integrate both sides of

\dfrac{\partial f}{\partial y}=2xze^{2xyz}

with respect to y and

\implies f(x,y,z)=e^{2xyz}+g(x,z)

Differentiate both sides with respect to x and

\dfrac{\partial f}{\partial x}=\dfrac{\partial(e^{2xyz})}{\partial x}+\dfrac{\partial g}{\partial x}

2yze^{2xyz}+4z^2\cos(xz^2)=2yze^{2xyz}+\dfrac{\partial g}{\partial x}

4z^2\cos(xz^2)=\dfrac{\partial g}{\partial x}

\implies g(x,z)=4\sin(xz^2)+h(z)

Now

f(x,y,z)=e^{2xyz}+4\sin(xz^2)+h(z)

and differentiating with respect to z gives

\dfrac{\partial f}{\partial z}=\dfrac{\partial(e^{2xyz}+4\sin(xz^2))}{\partial z}+\dfrac{\mathrm dh}{\mathrm dz}

2xye^{2xyz}+8xz\cos(xz^2)=2xye^{2xyz}+8xz\cos(xz^2)+\dfrac{\mathrm dh}{\mathrm dz}

\dfrac{\mathrm dh}{\mathrm dz}=0

\implies h(z)=C

for some constant C. So

f(x,y,z)=e^{2xyz}+4\sin(xz^2)+C

3 0
4 years ago
What is 10 2/3 rounded to the nearest half
Margaret [11]
10 1/2

Hope this helps :)
4 0
4 years ago
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Find the quotient: 17 ÷ 3 2/5<br> Find the quotient: 5 1/7 ÷ 3
Greeley [361]

Answer:

1. =5

2. =1 5/7

Step-by-step explanation: Hope this help :D

6 0
3 years ago
10 POINTS NEED HELP ASAP
Anni [7]

Answer:

I believe it is D

Step-by-step explanation:

Hope this helps!

8 0
3 years ago
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