2 years ago

GEOMETRY HELP ASAP PLEASE

Mathematics

1 answer:

Elden [556K]2 years ago

8 0

(.Y.)

grd

sth

shs

hse

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Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector

Feliz [49]

$f(x,y,z)=2z^2x+y^3$

$f$ has gradient

$\nabla f(x,y,z)=2z^2\,\vec\imath+3y^2\,\vec\jmath+4xz\,\vec k$

which at the point (-1, 4, 3) has a value of

$\nabla f(-1,4,3)=18\,\vec\imath+48\,\vec\jmath-12\,\vec k$

I'm not sure what the given direction vector is supposed to be, but my best guess is that it's intended to say $\vec u=15\,\vec\imath+25\,\vec\jmath$ , in which case we have

$\|\vec u\|=\sqrt{15^2+25^2}=5\sqrt{34}$

Then the derivative of $f$ at (-1, 4, 3) in the direction of $\vec u$ is

$D_{\vec u}f(-1,4,3)=\nabla f(-1,4,3)\cdot\dfrac{\vec u}{\|\vec u\|}=\boxed{\dfrac{294}{\sqrt{34}}}$

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2 years ago

¿Cuántas onzas equivalen a 9 libras? (1 libra = 16 onzas)

rosijanka [135]

Answer:

144 onzas

Step-by-step explanation:

1) 1 libra= 16 onzas

2) 16x 9= 144

;) Espero que eso te ayude

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The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer in simplest f

zhannawk [14.2K]

Answer:

x = 21/8

Step-by-step explanation:

So 8 is being multiplied by something to get to 21

So 8x = 21

Solve for x:

8x = 21
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kvasek [131]

Answer:

It’s undefined

Step-by-step explanation

there is no change in y

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