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Differential Calculus By: Madison Walters
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Jeopardy Definition of a Derivative Differentiability and Continuity Tangent Lines Vs. Normal Line Average Rate of Change Instantaneous Rate of Change Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy
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$100 Question Definition of a Derivative Your Text Here
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$100 Answer Definition of a Derivative Your Text Here
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$200 Question Definition of a Derivative Your Text Here
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$200 Answer Definition of a Derivative Your Text Here
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$300 Question Definition of a Derivative Your Text Here
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$300 Answer Definition of a Derivative Your Text Here
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$400 Question Definition of a Derivative Your Text Here
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$400 Answer Definition of a Derivative Your Text Here
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$500 Question Definition of a Derivative Your Text Here
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$500 Answer Definition of a Derivative Your Text Here
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$100 Question Differentiability and Continuity Your Text Here
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$100 Answer Differentiability and Continuity Your Text Here
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$200 Question Differentiability and Continuity Your Text Here
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$200 Answer Differentiability and Continuity Your Text Here
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$300 Question Differentiability and Continuity Your Text Here
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$300 Answer Differentiability and Continuity Your Text Here
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$400 Question Differentiability and Continuity Your Text Here
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$400 Answer Differentiability and Continuity Your Text Here
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$500 Question Differentiability and Continuity Your Text Here
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$500 Answer Differentiability and Continuity Your Text Here
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$100 Question Tangent Lines vs. Normal Lines Your Text Here
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$100 Answer Tangent Lines vs. Normal Lines Your Text Here
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$200 Question Tangent Lines vs. Normal Lines Your Text Here
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$200 Answer Tangent Lines vs. Normal Lines Your Text Here
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$300 Question Tangent Lines vs. Normal Lines Your Text Here
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$300 Answer Tangent Lines vs. Normal Lines Your Text Here
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$400 Question Tangent Lines vs. Normal Lines Your Text Here
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$400 Answer Tangent Lines vs. Normal Lines Your Text Here
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$500 Question Tangent Lines vs. Normal Lines Your Text Here
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$500 Answer Tangent Lines vs. Normal Lines Your Text Here
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$100 Question Average Rate of Change Your Text Here
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$100 Answer Average Rate of Change Your Text Here
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$200 Question Average Rate of Change Your Text Here
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$200 Answer Average Rate of Change Your Text Here
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$300 Question Average Rate of Change Your Text Here
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$300 Answer Average Rate of Change Your Text Here
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$400 Question Average Rate of Change Your Text Here
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$400 Answer Average Rate of Change Your Text Here
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$500 Question Average Rate of Change Your Text Here
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$500 Answer Average Rate of Change Your Text Here
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$100 Question Instantaneous Rate of Change Your Text Here
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$100 Answer Instantaneous Rate of Change Your Text Here
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$200 Question Instantaneous Rate of Change Your Text Here
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$200 Answer Instantaneous Rate of Change Your Text Here
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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 Jeopardy The 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) ∫ 3 13 6e^((ln2/5)t) dt =3/ln2 [e^(2.6ln2)-e^(.6ln2)] billion gal/year =19.680 billion gal/year
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