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Course: AP??/College Calculus BC?>?Unit 4
Lesson 4: Introduction to related rates- Related rates intro
- Analyzing problems involving related rates
- Analyzing related rates problems: expressions
- Analyzing related rates problems: expressions
- Analyzing related rates problems: equations (Pythagoras)
- Analyzing related rates problems: equations (trig)
- Analyzing related rates problems: equations
- Differentiating related functions intro
- Worked example: Differentiating related functions
- Differentiate related functions
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Analyzing related rates problems: expressions
Problem
Consider the following problem:
The radiusof a cone is increasing at a rate of centimeters per second and the height of the cone is decreasing at a rate of centimeters per second. At a certain instant , the radius is centimeters and the height is centimeters. What is the rate of change of the volume of the cone at that instant?
Match each expression with its given value.