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1.7.2 Integration

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Question 10

The rate of change of the altitude of a meteorological probe, HHH, in meters per second with respect to time ttt, is modeled by the function

v(t)=6t2−94t3,t>0 v(t) = \frac{6t^2 - 9}{4\sqrt[3]{t}}, \quad t > 0 v(t)=43t​6t2−9​,t>0

Determine the general expression for the altitude H(t)H(t)H(t) of the probe, giving your answer in its simplest form.

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1.7.2 Integration Questions

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