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Calculus I
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Limits and Continuity
fiber_manual_recordLimit of a Function
fiber_manual_recordProperties of Limits of Functions
fiber_manual_recordContinuity of a Function
fiber_manual_recordContinuous Functions
fiber_manual_recordProperties of Continuous Functions
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Differentiation
fiber_manual_recordAverage Rate of Change
fiber_manual_recordDerivative
fiber_manual_recordEquation of the Tangent Line
fiber_manual_recordMean Value Theorem
fiber_manual_recordIncreasing and Decreasing Functions
fiber_manual_recordLocal Maximum and Minimum
fiber_manual_recordGraph of a Function
fiber_manual_recordApplications to Equations and Inequalities
fiber_manual_recordVelocity and Acceleration
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Integration
fiber_manual_recordIndefinite Integral
fiber_manual_recordDefinite Integral
fiber_manual_recordApplication of Definite Integrals - Area
fiber_manual_recordApplication of Definite Integrals - Velocity and Distance

Position and Distance Traveled by a Point Moving Along a Vertical Line

For a point moving along a vertical line, if its velocity at time is and its position at time is , then:

  1. The position of point at time is:
  2. The change in the position of point from time to is:
  3. The total distance traveled by point from time to is: