2 years ago

After some food is introduced into a petri dish containing bacteria, the number of bacteria in the dish increases

1 answer:

4 0

Answer: 0.33 seconds

Step-by-step explanation:

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Brums [2.3K]

ANSWER

Your answer is -30

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saveliy_v [14]

I’ll help u in 5 years

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olga_2 [115]

I think the answer is y=-2(x-2)^2+6

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2 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

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

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3 years ago

Anastasy [175]

Answer:

Step-by-step explanation:

4/6=2/3

2/3=2/3

scale factor=2/3

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3 years ago