3. The velocity of a car (in miles per hour) is given by v(t) far the car travels during the first 2 hours. 5 + 2t, where t is in hours. Find how

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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**Problem 3:**  
The velocity of a car (in miles per hour) is given by \( v(t) = 5 + 2t \), where \( t \) is in hours. **Find** how far the car travels during the first 2 hours.

**Problem 4:**  
**Find** \(\int^4_0 \sqrt{16 - x^2} \, dx\).
Transcribed Image Text:**Problem 3:** The velocity of a car (in miles per hour) is given by \( v(t) = 5 + 2t \), where \( t \) is in hours. **Find** how far the car travels during the first 2 hours. **Problem 4:** **Find** \(\int^4_0 \sqrt{16 - x^2} \, dx\).
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