mat210_review_test1 - x –6 –5 –4 –3 f x –7.3...

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REVIEW FOR TEST 1 ____ 1. Estimate the limit numerically. ____ 2. Estimate the limit numerically. ____ 3. Estimate the limit numerically. ____ 4. Estimate the limit numerically. ____ 5. Use the graph to compute
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____ 6. If is the Dow Jones Average at time and , is it possible that the Dow will fluctuate indefinitely into the future? ____ 7. Determine what, if any, value to assign to f ( a ) to make f continuous at x = a . ; ____ 8. Use a graph to determine whether the given function is continuous on its domain. If it is not continuous on its domain, list the points of discontinuity. ____ 9. Calculate the limit algebraically. ____ 10. Calculate the limit algebraically. ____ 11. Calculate the limit algebraically. ____ 12. Calculate the limit algebraically.
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____ 13. Find all points of discontinuity of the function. ____ 14. Calculate the average rate of change of the given function over the interval
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Unformatted text preview: . x –6 –5 –4 –3 f ( x ) –7.3 –6.7 –3.5 –3.9 ____ 15. The function represents the value of the U.S. dollar in Indian rupees as a function of time t in days. Estimate (using h = 0.0001) the instantaneous rate of change of R at time t = 5. Please select the correct answer rounded to the nearest whole number. ____ 16. Find an equation of the tangent line to the graph of the function at the point that has x-coordinate . [ Hint : use point-slope formula to find the equation of the tangent line.] ____ 17. Compute the derivative function algebraically. ____ 18. Compute the derivative function algebraically. ____ 19. Compute . ____ 20. Use the shortcut rules to calculate the derivative of the given function. ____ 21. Given. Say whether L'Hospital's rule applies. It is does, use it to evaluate the given limit. If not, use some other method....
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