27.7.3 - Integration and Differentiation
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Practice Questions
Test your understanding with targeted questions
What is integration in the context of seismograms?
💡 Hint: Think about how we accumulate data over time.
What does differentiation do?
💡 Hint: Consider how we see changes over time.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What does integration allow us to derive from acceleration data?
💡 Hint: Recall how we use motion data.
True or False: Differentiation can be used to find velocity from displacement data.
💡 Hint: Think about how changes occur over time.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Given a seismogram with acceleration data recorded during an earthquake, outline the mathematical steps to compute displacement at two significant intervals of time.
💡 Hint: Focus on how you accumulate data over time using numerical integration.
Describe how an engineer can use the differentiation of the displacement data to enhance a building's design against earthquake forces.
💡 Hint: Consider the dynamic response of buildings when ground conditions change.
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