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Define Nativism (in your own words) as it pertained to the material covered in this class. Then list three (3) historical events (or practices) that are related to Nativism and were discussed in the readings or lectures. Be sure to use  as much detail as possible on these events. Finally, you should discuss if you believe (in your opinion) if Nativism still plays a role in modern America. If so, give an example. If not, give an example that proves Nativism no longer exists.    *** GRADING- Each event and the definition, when accurately described in a detailed manner (that shows the significance of the event) will earn you 4pts. 3 events x 4pts each= 12pts + 4pts definition + 4pts modern America example = 20pts for the short essay.

All except which one of the following statements reflect the African-American experience in the North during the Harlem Renaissance?

16. (3 pts) Explain why looking at the sign of the first derivative of a function can help us decide if a critical value is a maximum, a minimum, or neither. Include a drawing.

14. (5 pts) For each function, find the limit as x approaches ∞ (positive infinity). a)

17. (6 pts) Find the antiderivative F(x) of each function. a)   b)

10. (5 pts) A spherical golf ball is measured to have a radius of 5 cm, with a possible measurement error of 0.1 cm. (a) Use differentials to estimate the maximum error in the calculated volume of the golf ball. Round your answer to 3 places after the decimal. (b) Using your answer from part a, estimate the maximum relative (percentage) error in the calculated volume of the golf ball. Give your answer in percentage form. Formulas you may need: Sphere surface area: S = 4πr2 Sphere volume: V = (4/3)πr3

10. (5 pts) A spherical softball is measured to have a radius of 9 cm, with a possible measurement error of 0.2 cm. (a) Use differentials to estimate the maximum error in the calculated surface area of the ball. Round your answer to 3 places after the decimal. (b) Using your answer from part a, estimate the maximum relative (percentage) error in the calculated surface area of the ball. Give your answer in percentage form. Formulas you may need: Sphere surface area: S = 4πr2 Sphere volume: V = (4/3)πr3

9. Let     a) (3 pts) Find a linear approximation L(x) for f(x) near x = 4. b) (1 pt) Use your linear approximation to estimate the value of   . c) (2 pts) Explain why your linear approximation from part a would NOT be a good way to estimate   . Include a drawing in your answer.

15. (4 pts) Use L’Hôpital’s Rule to find each limit. a)

3. (6 pts) Evaluate each limit. Do not use L’Hopital’s rule on these problems. a)