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3 years ago

7

Trey found three pieces of wire in his tool drawer. Here are their lengths (in centimeters). 9 , 5.59 , 16.8 What is the total l

ength of the three pieces?

1 answer:

lara [203]3 years ago

8 0

To find the total length we justadd the llength of the vBulletin peices together 9 +5.59 + 16 . 8 = 31.39 The total length is 31.39

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Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

Firstly, we can find gradient

so, we will find partial derivatives

$f_x=0 -2xy$

$f_x=-2xy$

$f_y=0 -x^2$

$f_y=-x^2$

$f_z=3z^2$

now, we can plug point (-5,5,2)

$f_x=-2*-5*5=50$

$f_y=-(-5)^2=-25$

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so, gradient will be

$gradf=(50,-25,12)$

now, we are given that

it is in direction of v=⟨−3,2,−4⟩

so, we will find it's unit vector

$|v|=\sqrt{(-3)^2+(2)^2+(-4)^2}$

$|v|=\sqrt{29}$

now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

now, we can find dot product to find direction of the vector

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now, we can plug values

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7 0

3 years ago

Read 2 more answers

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inna [77]

Well -5/8 as a decimal would be -0.625.
So, the order would be -0.615 -0.62(0) and then -5/8 (or -0.625).
You could easily search up 5/8 as a decimal :)

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3 years ago

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raketka [301]

Answer:

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Step-by-step explanation:

In the question we are given ,

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Radius of cylinder = <u>5 cm</u>

And , we have to find the <u>height</u><u> of</u><u> </u><u>cylinder</u><u> </u>.

We know that ,

$\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow$

Our solution starts from here :

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$\longmapsto \: \red{\boxed{h = 9 \: cm}}$

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2 years ago

Rudik [331]

Answer:

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Step-by-step explanation:

-3(x-4)=2x+4-x

-3x+12=x+4

+3x +3x

-----------------------

12=4x+4

-4 -4

-----------------------

8=4x

-- ---

4 4

-----------------------

x=2

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puteri [66]

Answer: 11

Step-by-step explanation:

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2 years ago

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