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Calculus Midterm - Part 2 of 2
SAMPLE
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10. Physics Applications of Integrals / Kinematics / Problem 11
Problem 11

A chemical plant produces a compound at a variable rate given by
R(t)={5t+12if 0t1050if t>10R^{\prime}(t)=\begin{cases}5t+12 & \text{if }\,\,\;0\leq t\leq10\\ 50 & \text{if }\;\;\,\;\,\,\;\,\;\,t>10\end{cases},
where t t is measured in hours and R R in kilograms. How many kilograms are produced in the first 1010 hours?