Cоpy these questiоns оn to sepаrаte pаper, and continue to work on them. You may use notes if you need them on these two question only. Submit to the assignment after the test. COMPLETE 2 QUESTIONS BELOW AND SUBMIT TO THE 2ND ASSIGNMENT (LINK HERE). There is ALSO an optional bonus below You may complete these two questions before or after you complete the test (ALL DUE THE SAME DAY) and submit them to this second assignment. 1. (15 points) The following integrals are very similar looking; however they are evaluated using different methods. Evaluate each integral in an organized manner, using power series for exactly one of them. (You may use any needed power series from memory.) show all work 2. (15 points) CONSIDER THE REGION BOUNDED BY the x-axis between x=0 and x=2. a. Find the area of the region by evaluating an integral using SERIES. Use 10 terms and state the error of the approximation. b. Revolve the region around the y-axis and write an integral for the volume of it. Evaluate the volume by hand using any appropriate integration technique. c. Write an integral used to find the arc length of the curve between x=0 and x=2. Evaluate the integral using technology (not by hand). Round answer to 5 decimal places.
“In 1680 Pueblо leаders united mоst оf their communities аgаinst the European intruders. . . . In a matter of weeks, the Pueblos had eliminated Spaniards from New Mexico above El Paso. The natives had killed over 400 of the province’s 2,500 foreigners, destroyed or sacked every Spanish building, and laid waste to the Spaniards’ fields. There could be no mistaking the deep animosity that some natives, men as well as their influential wives and mothers, held toward their former oppressors.... Some Pueblo leaders . . . urged an end to all things Spanish as well as Christian. After the fighting subsided, they counselled against speaking Castilian or planting crops introduced by the Europeans.” David J. Weber, historian, The Spanish Frontier in North America, 1992 The conflict described in the excerpt led primarily to which of the following changes in Spanish colonial policy?