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Alecsey [184]
3 years ago
6

1. A weather forecaster says that the temperature is changing at a rate of -8° per hour. At this rate, how long will it take for

the temperature change to be -24°?
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
7 0

Answer:

2 hours

Step-by-step explanation:

8 x 2=24

hope it helps

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KonstantinChe [14]

Starting from

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take the first derivative using the power and chain rules:

f'(x)=\dfrac83\cdot\dfrac14(x+1)^{\frac83-1}-\dfrac23\cdot4(x+1)^{\frac23-1}

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Now take the second derivative:

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Optionally, you can condense the second derivative a bit by factoring out \frac89(x+1)^{-\frac43}, which gives

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f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80(x+1)^2+1\right)

f''(x)=\dfrac89 (x+1)^{-\frac43} \left(80x^2+160x+81\right)

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