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1.8.2 Integration

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Question 8

A synthetic crystal's mass growth rate, dmdt\displaystyle \frac{dm}{dt}dtdm​ in grams per hour, is modeled by the equation:

dmdt=15t3−45t,t>0 \frac{dm}{dt} = \frac{15t^3 - 4}{5\sqrt{t}}, \quad t > 0 dtdm​=5t​15t3−4​,t>0

where t t\,t is the time elapsed in hours. Determine the general expression for the mass m m\,m in terms of ttt, giving your answer in its simplest form.

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1.8.2 Integration Questions

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