Calc BC Pham Unit 4 (copy)

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Calculus

AP Calculus BC

Unit 4: Contextual Applications of Differentiation

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1
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How do you solve related rates problems?

  • Identify the rates, relationship, and moment

  • Differentiate relationship wrt time (implicitly)

  • Plug in knowns to solve for unknown rate

2
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How do you solve optimization problems?

  • Find primary and secondary equations

    • Primary equation: equation to minimize/maximize

    • Secondary equation: relationship btw variables

  • Use secondary equation to write primary equation in terms of one variable

  • Differentiate and find critical points

  • Do candidacy test (if multiple critical points)

  • Ensure that the points you find answer the question

3
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<p>What is the volume of a prism?</p>

What is the volume of a prism?

<p></p>
4
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<p>What is the volume of a cylinder?</p>

What is the volume of a cylinder?

<p></p>
5
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<p>What is the volume of a cone?</p>

What is the volume of a cone?

<p></p>
6
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<p>What is the volume of a sphere?</p>

What is the volume of a sphere?

<p></p>

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