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Scorpion4ik [409]
3 years ago
13

Find the circumference to the nearest tenth

Mathematics
1 answer:
gregori [183]3 years ago
4 0
C=3.14(15.6)
C=48.9-> 49 
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dalvyx [7]
Well, a rational decimal is like a simple 3.1 or 4.5. It just cuts off easily. Another example would be a repeating decimal like 3.333333...


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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
What is the domain of function of f(x)=-2x+4x
dem82 [27]

Answer:

Domain= x∉Real numbers

Step-by-step explanation:

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a worker in a silver mine descends 71 feet. Use an integer to represent the change in the workers position.
alexira [117]

Answer:

iuyhgt

Step-by-step explanation:

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