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3 years ago

Figure out this missing number pattern:\ 1,1,2,3,5_,_,_

1 answer:

8 0

What you have here is the fibonacci sequence.
Each number in the sequence adds itself to the number before it.
1+1 = 2
1+2 = 3
3+2 = 5
5+3 = 8
8+5 = 13
the sequence is 0,1,1,2,3,5,8,13

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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

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

4 0

3 years ago

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Katyanochek1 [597]

Answer:

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3 years ago

Charlene is knitting a baby blanket. She wants its width, w, to be at least half its length, l. She estimates that she has enoug

jolli1 [7]

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3 years ago

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zloy xaker [14]

Answer:

7m² - 5m + 8 + 3/(m+3)

Step-by-step explanation:

7m³+16m²-7m+27

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[7m²(m+3) - 5m(m+3) + 8(m+3) + 3]/(m+3)

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3 years ago

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cestrela7 [59]

Answer: Yes

Step-by-step explanation:

Yes it is, your ratio would be 10.50:1

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if you were to buy the popcorn then no it wouldn't be.

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