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3 years ago

Which boolean operation is referred to as a boolean product?

Mathematics

1 answer:

Slav-nsk [51]3 years ago

4 0

AND operation is referred as a Boolean product:
For your info there are 5 Boolean operators:

AND, OR, NOT, NEAR, ( )

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Use Stokes' Theorem to evaluate C F · dr F(x, y, z) = xyi + yzj + zxk, C is the boundary of the part of the paraboloid z = 1 − x

Serggg [28]

I assume $C$ has counterclockwise orientation when viewed from above.

By Stokes' theorem,

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

so we first compute the curl:

$\vec F(x,y,z)=xy\,\vec\imath+yz\,\vec\jmath+xz\,\vec k$

$\implies\nabla\times\vec F(x,y,z)=-y\,\vec\imath-z\,\vec\jmath-x\,\vec k$

Then parameterize $S$ by

$\vec r(u,v)=\cos u\sin v\,\vec\imath+\sin u\sin v\,\vec\jmath+\cos^2v\,\vec k$

where the $z$ -component is obtained from

$1-(\cos u\sin v)^2-(\sin u\sin v)^2=1-\sin^2v=\cos^2v$

with $0\le u\le\dfrac\pi2$ and $0\le v\le\dfrac\pi2$ .

Take the normal vector to $S$ to be

$\vec r_v\times\vec r_u=2\cos u\cos v\sin^2v\,\vec\imath+\sin u\sin v\sin(2v)\,\vec\jmath+\cos v\sin v\,\vec k$

Then the line integral is equal in value to the surface integral,

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

$=\displaystyle\int_0^{\pi/2}\int_0^{\pi/2}(-\sin u\sin v\,\vec\imath-\cos^2v\,\vec\jmath-\cos u\sin v\,\vec k)\cdot(\vec r_v\times\vec r_u)\,\mathrm du\,\mathrm dv$

$=\displaystyle-\int_0^{\pi/2}\int_0^{\pi/2}\cos v\sin^2v(\cos u+2\cos^2v\sin u+\sin(2u)\sin v)\,\mathrm du\,\mathrm dv=\boxed{-\frac{17}{20}}$

6 0

3 years ago

- 21-p-11)<br><br> Giving branliest

posledela

Answer:

-32-p

Step-by-step explanation:

you combine the like terms which would be -21 and -11. that gives you -32 and -p is just by its self since there are no terms to combine it with

6 0

3 years ago

Can someone help me please?

taurus [48]

Answer:

437.4 meters squared

Step-by-step explanation:

7.2*4.5=32.4=b

3*4.5=13.5=h

b*h=a

32.4*13.5=437.4m^2

3 0

4 years ago

Read 2 more answers

I have tried multiple times to do this many different ways and I have not gotten the correct answer. #9

hodyreva [135]

It's $1.18^{10}$ which gives 5.23 times increase in 10 years, so 523% of oryginal price

5 0

4 years ago

AB = [ 4 ]. Find A if B=(22]

Vladimir79 [104]

Answer:

A = 2/11

Step-by-step explanation:

22A= 4

(22A)/22 = 4/22

A = 4/22 = 2/11

7 0

3 years ago