Calc BC Pham Unit 4

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8 Terms

1

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

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2

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

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

What is the volume of a prism?

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

What is the volume of a cylinder?

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

What is the volume of a cone?

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

What is the volume of a sphere?

<p></p>
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7

What are absolute extrema?

The highest and lowest points of a graph on an interval

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8

How do you find absolute extrema?

  • Differentiate the function

  • Find where f’(x)=0 or undefined on the interval

  • Make a candidacy chart (shown below)

  • Points with highest magnitude are absolute minima/maxima

<ul><li><p>Differentiate the function</p></li><li><p>Find where f’(x)=0 or undefined on the interval</p></li><li><p>Make a candidacy chart (shown below)</p></li><li><p>Points with highest magnitude are absolute minima/maxima</p></li></ul>
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