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Introduction to Calculus!

Introduction to Calculus!. But first………. “ Fathers” of the Calculus. Leibniz Calculator! …….love your TI-84. Rates of Change . A rate is a comparison between two quantities of different kinds. Km per hour Rpm = revolutions per minute Liters per gallon Often represented as a fraction.

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Introduction to Calculus!

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  1. Introduction to Calculus! But first………..

  2. “Fathers” of the Calculus

  3. Leibniz Calculator!…….love your TI-84

  4. Rates of Change • A rateis a comparison between two quantities of different kinds. • Km per hour • Rpm = revolutions per minute • Liters per gallon • Often represented as a fraction

  5. Rates of Change

  6. Rates of Change

  7. Rates of Change

  8. Rates of Change

  9. Rates of Change

  10. Rates of Change

  11. An ever changing world

  12. Average rate of change • Sound familiar?!?!?? • Slope!

  13. Find speed of hair from A to B, B to C and C to D. • Find speed of tortoise (average speed)

  14. Example • New tires have a tread depth of 8mm. After driving for 32 178 km the tread depth was reduced to 2.3mm. What was the wearing rate of the tires in • a. Mm per km traveled? • b. cm per 10 000 km traveled?

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