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3 years ago

Gavyn drives at a speed of 50 miles per hour.How long will it take to drive 225 miles?

Mathematics

1 answer:

vova2212 [387]3 years ago

5 0

It will take you 4 hours and 30 minutes.

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Show work <br> Need fast!!! <br><br> 4(1/3+ 1/3+ 1/3)

aalyn [17]

Answer:

Step-by-step explanation:

calculate the sum 4*1 any expression is multiplied by 1 remains the same solution is 4

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3 years ago

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

PLS HELP ASAP. 60 PTS. SORRY I COULDN’T DO MORE

aleksklad [387]

Answer:

it's a

Step-by-step explanation:

just took the testttt

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3 years ago

Sam wants to know how long it will take to fill his baby pool that holds 24 gallons. after 1 minute, there are 2 gallons of wate

saul85 [17]

B 12 because you divide 24/2=12

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3 years ago

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nasty-shy [4]

Answer:

n < -10

Step-by-step explanation:

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3 years ago

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