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2 years ago

NEED HELP!! the graph shows the volume of oil in a tank at time t seconds

Mathematics

1 answer:

OlgaM077 [116]2 years ago

4 0

Answer:

Part a: 2.5

Part b: The rate the oil fills the tank

Part c: The amount of liquid in the tank to begin with.

Hope this helps. :)

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Evaluate the definite integral. <br> 1 x4(1 + 2x5)5 dx.

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Answer:

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Given the definite integral $\int\limits {\dfrac{x^4}{(1-2x^5)^5} } \, dx$ , we to evaluate it. Using integration by substitution method.

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Substitute equation 1 and 2 into the integral function and evaluate the resulting integral as shown;

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$= \dfrac{-1}{10} \int\limits {\dfrac{du}{u^5} } \\\\= \dfrac{-1}{10} \int\limits {{u^{-5}du } \\= \dfrac{-1}{10} [{\frac{u^{-5+1}}{-5+1}] \\\\= \dfrac{-1}{10} ({\frac{u^{-4}}{-4})\\\\$

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