Help with letter d and e

18. Volume Problem: Figure 12-e shows the solid generated by rotating about the y-axis the region under the graph of y: xzsinzxfromx= Utox= 1.5. a. Find the volume of this solid. Do the integrating numer- ically. and write all the decimal places your grapher will give you. b. Find the volume exactly,r by integrating by parts then Figure 12455 using the fundamental theorem. c. Evaluate your answer to 18b. Write all the decimal places your calculator will give you. How does this exact answer compare with the numerical answer 1,rou got in 13a. (1. Write the integrand for the indefinite integral in 18a as a Maclaurin series. Then do the integration. e. Show that x = 1.5 is in the interval of convergence for the integrated series in 18d. 1". Estimate the volume of the solid by evaluating the rst five non-zero terms of the series in 18d. How does this estimate compare with the exact answer in 18b? g. The integrated series in 18d is an alternating series whose terms decrease in value and approach zero as rt approaches innity. Thus the remainder of the series after a given partial sum is no larger in magnitude than the absolute value of the rst term of the tail following that partial sum. How many terms of the series would you need to use in order to estimate the volume correct to 10 decimal places