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1.C. This problem illustrates why vertical shells was invented. a. Solve the equation 3/ = Ex for x b. Solve the equation 3/ = x2 + x for x. HELP: x2 + x y : 0 , then use quadratic formula C. Can the equation 3/ = x4 + x be solved for x: yes, or no? Explain your answer. 2.1. Use vertical shells to find the volume when the region Q bounded by curves y : 5x2 x4 and y = 0 between x = 1 and x = 2 is rotated about the y-axis. As part of your work draw an approximating rectangle below and a picture ofthe shelf 3.3. Redo problem 2.1 and use vertical thin shells to find the volume when the region Q bounded by curves y : 5x2 x4 and y : 0 between x : 1 and x : 2 is rotated about the vertical line x = 4. As part of your work draw an approximating rectangle and shell. Set up the integral with limits but don't evaluate it. 2 I 6