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aleksandr82 [10.1K]
4 years ago
14

A plumber has a piece of pipe that is 2-meter long. He needs to cut it into sections that are 10 centimeters long. How many sect

ions will he be able to cut?
Mathematics
1 answer:
hjlf4 years ago
3 0
He would be able to cut 20 sections:)
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How to do question 1?Had no idea how to do both parts
givi [52]
y=\dfrac{\ln x}{3x-6}

Differentiate both sides with respect to x:

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}

When x=1, you have

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}=\dfrac{-3}9=-\dfrac13

For part (b), we now assume that x and y are functions of an independent variable, which we'll call t (for time). Now differentiating both sides with respect to t, we have

\dfrac{\mathrm dy}{\mathrm dt}=\dfrac{\frac{3x-6}x-3\ln x}{(3x-6)^2}\dfrac{\mathrm dx}{\mathrm dt}

where the chain rule is used on the right side. We're told that y is decreasing at a constant rate of 0.1 units/second, which translates to \dfrac{\mathrm dy}{\mathrm dt}=-0.1. So when x=1, you have

-0.1=\dfrac{\frac{3-6}1-3\ln1}{(3-6)^2}\dfrac{\mathrm dx}{\mathrm dt}
-0.1=-\dfrac13\dfrac{\mathrm dx}{\mathrm dt}
\dfrac{\mathrm dx}{\mathrm dt}=0.3

where the unit is again units/second.
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3 years ago
The depth of water in a swimming pool decreases by 1/8 inch per day due to evaporation. No water is added to the pool for a 2-we
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Answer:

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Gente tem como alguém dividir a conta da netflix cmg( é mais fácil daí cada um da metade) .
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Help me plsss i need it quick
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The slope is -5/4

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Sam bought 4 candy bars at 1.23 each. How many did Sam spend all together
podryga [215]

Answer: $4.92

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Hope this helps:)

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3 years ago
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