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adell [148]
2 years ago
12

If the rate of change (ROC) of the function is quadratic, what is the function type ? Choose the correct answer.

Mathematics
1 answer:
evablogger [386]2 years ago
4 0

If the rate of change (ROC) of the function is quadratic, then the function type is cubic

<h3>What is rate of change?</h3>

The rate of change of a function is the rate at which the output values change over the input value

The rate of change of a function is one degree less than the actual function

This means that, a cubic function will have a quadratic rate of change

Hence, the correct option is (d)

Read more about rate of change at:

brainly.com/question/8728504

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Answer:

9.2\ \text{m}

Step-by-step explanation:

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The rate at which the volume is reducing is

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Integrating from t=0 to t=3

V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24

Volume of water remaining in the tank is 70-24=46\ \text{m}^3

Suface area of base \times depth = Volume

5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}

The depth of the water remaining in the tank is 9.2\ \text{m}.

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