Practice - Applications of Rates of Change
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Practice Questions
Test your understanding with targeted questions
Define average rate of change.
💡 Hint: It involves two points on a graph.
Provide the formula for instantaneous rate of change.
💡 Hint: Think of limits as h approaches zero.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is the average rate of change of a function?
💡 Hint: Think about two points on a graph.
True or False: Instantaneous rate of change is the same as average rate of change.
💡 Hint: One is about a point, the other around a stretch.
1 more question available
Challenge Problems
Push your limits with advanced challenges
A drone flies high above a city, ascending in height, governed by the equation h(t) = 2t^2 + 3t. Determine the average rate of change in height from t=1 to t=4 seconds.
💡 Hint: Use the height function to find endpoint values.
A car’s distance over time is modeled as d(t) = 10t^2. At t=3, find the instantaneous rate of change of distance.
💡 Hint: Differentiate the distance function first.
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