Math 165 Test 3 For problems 1-5 perform the requested calculation. Show all your work and circle your final answer. 1 1. (2 2 + 2 ) 2. 2 3 +45 2 3. 3 4. 2 +1 5. ln For problems 6-7 perform the requested calculation. 1 6. 0 20(2 2 + 1)4 4 3 7. 1 ( + 2 ) 8. Suppose the number of Americans grew at the rate of () = 2 10 + 25 million people / year where is the number of years since 1990. According to this model, many Americans were there in 2000 if there was 220 million in 1990? 9. Approximate the area under the curve = 2 + 3 + 4 on the interval [1,4] using 3 subintervals of equal width. Use the left endpoints of each subinterval to approximate height. 10. Find the total area between the curve = 3 and the axis on the interval [2,2]. 11. Find the area between = 2 + 2 + 8 and = 2 + 4. 12. The quantity of a good demanded, , related to unit price is given by = 0.1 2 + 40. The quantity supplied given a price is = 0.1 2 + 2 + 20. If market price is set to equilibrium price then find the consumer's surplus and producer's surplus. 17 1 13. Calculate the Gini coefficient given a Lorenz curve () = 18 2 + 18