📝 Absolute Extrema Of Functions With One Relative Extremum

Q1. A function \(f(x)=x^{3}-3x+2\) is defined on the interval \([-2,3]\). Which value is the absolute maximum of \(f\) on this interval?

💡 Difficulty: easy | ✅ Correct: B

Q2. A particle moves along a line with position \(s(t)=t^{3}-6t^{2}+9t\) for \(t\in[0,4]\). At which time does the particle attain its absolute maximum displacement?

💡 Difficulty: medium | ✅ Correct: C

Q3. A logistics company models fuel consumption per mile as \(F(v)=\frac{v^{2}}{5}+ \frac{20}{v}\) where \(v\) is speed in mph, on the interval \([10,30]\). At what speed is fuel consumption minimized?

💡 Difficulty: hard | ✅ Correct: C