Practice - Example - 1.4.2
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Practice Questions
Test your understanding with targeted questions
Calculate the AROC for f(x) = 2x + 3 from x = 1 to x = 4.
💡 Hint: Use the slope formula for secant line.
What is the IROC of f(x) = 1/x at x = 1?
💡 Hint: Calculate the limit as h approaches 0.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the formula for Average Rate of Change?
💡 Hint: Think about how distance is divided by time.
True or False: The instantaneous rate of change is found by evaluating the slope of the tangent line.
💡 Hint: Recall the definitions of tangent lines.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A cyclist travels along a path described by the equation D(t) = t^3 - 12t^2 + 36t, where D is distance in meters and t is time in seconds. Calculate the AROC from t = 1 to t = 5 and the IROC at t = 3.
💡 Hint: Calculate function values first for AROC and derive before substituting for IROC.
The height of a projectile is given by h(t) = -4.9t^2 + 20t + 5. Determine the AROC from t = 0 to t = 3 and the IROC at t = 2.
💡 Hint: Apply the same approach: compute heights, then find derivatives.
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