MAT 210 FINAL EXAM STUDY GUIDE

MAT 210 FINAL EXAM STUDY GUIDE - MAT 210 Final Exam Topics...

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MAT 210 Final Exam Topics Differential Calculus: Chapters 10 - 12 Limits Average Rate of Change Derivatives (all rules, including implicit) Marginal Analysis Maxima and Minima Optimization Applications Related Rates Elasticity Integral Calculus: Chapters 13 – 14 Basic Anti-derivatives Riemann Sums Definite Integrals Area Applications of Integration (1 or 2 curves) Averages and Moving Averages Applications to Economics Some Key Conceptual Questions 1. What might it look like in a graph of f(x) if lim x a f x  ≠ f a 2. How are average rate of change and instantaneous rate of change different? How are they the same? 3. Describe what the derivative of a function is... for instance, if you knew that f ' 4 =− 9 , what does that tell you about the function f(x) ? 4. How do you figure out the units for the derivative of a function in a story problem?
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Unformatted text preview: 5. What have you found out if you know where the derivative of a function = 0? Why? 6. How can you interpret an elasticity result? For instance, if you get E = 0.6, what does that say about price and demand? 7. If you have a function like V = 4 3 r 3 , what is the difference in meaning between the associated functions dV dr and dV dt (assuming t represents time) ? 8. How do you determine the units of a definite integral answer in a story problem? 9. If you integrate a rate function of some sort, what kind of function do you get as a result? What if you compute a definite integral? 10. Describe what is meant by a Consumers' Surplus? a Producers' Surplus? Is it possible to have both?...
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