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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 0≤t≤1050if t>10R^{\(\prime\)}(t)=\(\begin{cases}\)5t+12 & \(\text{if }\)\,\,\;0\(\leq\) t\(\leq\)10\\ 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?