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![Page 1: Differential Calculus By: Madison Walters Jeopardy Definition of a Derivative Differentiability and Continuity Tangent Lines Vs. Normal Line Average.](https://reader036.fdocuments.in/reader036/viewer/2022062309/5697bfce1a28abf838ca99fa/html5/thumbnails/1.jpg)
Differential Calculus By: Madison Walters
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JeopardyDefinition of a Derivative
Differentiability and Continuity
Tangent LinesVs.
Normal Line
Average Rate of Change
Instantaneous Rate of Change
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Final Jeopardy
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$100 QuestionDefinition of a Derivative
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$100 AnswerDefinition of a Derivative
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$200 Question Definition of a Derivative
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$200 AnswerDefinition of a Derivative
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$300 Question Definition of a Derivative
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$300 Answer Definition of a Derivative
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$400 Question Definition of a Derivative
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$400 Answer Definition of a Derivative
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$500 Question Definition of a Derivative
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$500 Answer Definition of a Derivative
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$100 Question Differentiability and Continuity
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$100 Answer Differentiability and Continuity
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$200 Question Differentiability and Continuity
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$200 Answer Differentiability and Continuity
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$300 Question Differentiability and Continuity
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$300 Answer Differentiability and Continuity
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$400 Question Differentiability and Continuity
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$400 Answer Differentiability and Continuity
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$500 Question Differentiability and Continuity
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$500 Answer Differentiability and Continuity
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$100 Question Tangent Lines vs. Normal Lines
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$100 Answer Tangent Lines vs. Normal Lines
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$200 Question Tangent Lines vs. Normal Lines
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$200 Answer Tangent Lines vs. Normal Lines
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$300 Question Tangent Lines vs. Normal Lines
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$300 Answer Tangent Lines vs. Normal Lines
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$400 Question Tangent Lines vs. Normal Lines
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$400 Answer Tangent Lines vs. Normal Lines
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$500 Question Tangent Lines vs. Normal Lines
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$500 Answer Tangent Lines vs. Normal Lines
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$100 QuestionAverage Rate of Change
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$100 Answer Average Rate of Change
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$200 Question Average Rate of Change
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$200 Answer Average Rate of Change
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$300 Question Average Rate of Change
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$300 Answer Average Rate of Change
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$400 Question Average Rate of Change
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$400 Answer Average Rate of Change
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$500 Question Average Rate of Change
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$500 Answer Average Rate of Change
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$100 Question Instantaneous Rate of Change
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$100 Answer Instantaneous Rate of Change
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$200 Question Instantaneous Rate of Change
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$200 Answer Instantaneous Rate of Change
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$300 Question Instantaneous Rate of Change
Your Text Here
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$300 Answer Instantaneous Rate of Change
Your Text Here
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$400 Question Instantaneous Rate of Change
Your Text Here
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$400 Answer Instantaneous Rate of Change
Your Text Here
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$500 Question Instantaneous Rate of Change
Your Text Here
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$500 Answer Instantaneous Rate of Change
Your Text Here
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Final JeopardyThe rate of consumption of cola in the US is given by
S(t)=Ce^kt, where S is measured in billions of gallons per year and t is measured in years from the beginning of
1980. The consumption rate doubles every S years and the consumption rate at the beginning of 1980 was 6 billion gallons per year. This is the Av. ROC of cola over the 10
year period beginning January 1, 1983. (Indicate units of measure.)
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Final Jeopardy Answer
What is Av. ROC
=(1/13-3) ∫313 6e^((ln2/5)t) dt
=3/ln2 [e^(2.6ln2)-e^(.6ln2)] billion gal/year
=19.680 billion gal/year