3 years ago

How many kilometers does the moon travel around Earth in one day ? (What do I do)

1 answer:

6 0

3,500 kilometers in one day

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alexdok [17]

Yea i think this my answer

8 0

3 years ago

Alik [6]

The derivative of $f(x,y,z)$ at a point $p_0=(x_0,y_0,z_0)$ in the direction of a vector $\vec a=a_x\,\vec\imath+a_y\,\vec\jmath+a_z\,\vec k$ is

$\nabla f(x_0,y_0,z_0)\cdot\dfrac{\vec a}{\|\vec a\|}$

We have

$f(x,y,z)=3e^x\cos(yz)\implies\nabla f(x,y,z)=3e^x\cos(yz)\,\vec\imath-3ze^x\sin(yz)\,\vec\jmath-3ye^x\sin(yz)\,\vec k$

and

$\vec a=-\vec\imath+2\,\vec\jmath+3\,\vec k\implies\|\vec a\|=\sqrt{(-1)^2+2^2+3^2}=\sqrt{14}$

Then the derivative at $p_0$ in the direction of $\vec a$ is

$3\,\vec\imath\cdot\dfrac{-\vec\imath+2\,\vec\jmath+3\,\vec k}{\sqrt{14}}=-\dfrac3{\sqrt{14}}$

3 0

3 years ago

Fittoniya [83]

15 624/1000 is it supposed to be sipplified?

8 0

2 years ago

snow_lady [41]

Yea is equal but, it is the opposite of 14 plus and 14 minus

8 0

2 years ago

yarga [219]

Answer:

1/21

Step-by-step explanation:

5 0

3 years ago