A steel plant in Bhilai has a production rate given by P'(t) = 50 + 4t tonnes/hour. What is the total steel produced in the first 5 hours?
A steel plant in Bhilai has a production rate given by P'(t) = 50 + 4t tonnes/hour. What is the total steel produced in the first 5 hours?
- A. 300 tonnes
- B. 250 tonnes
- C. 350 tonnes
- D. 200 tonnes
Answer: A) 300 tonnes
Explanation: Total production = ∫[0 to 5] (50 + 4t) dt = [50t + 2t²] from 0 to 5 = 250 + 2(25) = 250 + 50 = 300 tonnes.
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