Tal = +00 #9. (a) Use the Integral Remainder Theorem to obtain an upper bound for...

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Tal = +00 #9. (a) Use the Integral Remainder Theorem to obtain an upper bound for the error in using 9+00 the fourth partial sum S, to approximate the sum S for the convergent series So Fx]dx ≤Rn≤ f Hxldx n+1 Rint 18 f(x) dx hg ≤ 18 / dx x6 RO< [x=0#1] 0 B₂ < [0 + 27³] = Rig≤ ㅗ 6(85 An P18 = = = 2 ² 3x7 (b) How many terms would be needed to approximate S to six decimal places? (Hint: the fifth root of two is about equal to 1.15.) # 10. Let D be the region bounded by the circle of radius 2 which is centered at the point (6,0) in the xy-plane. Use Pappus's theorem to find the volume obtained by revolving D about the y-axis. Tal = +00 #9. (a) Use the Integral Remainder Theorem to obtain an upper bound for the error in using 9+00 the fourth partial sum S, to approximate the sum S for the convergent series So Fx]dx ≤Rn≤ f Hxldx n+1 Rint 18 f(x) dx hg ≤ 18 / dx x6 RO< [x=0#1] 0 B₂ < [0 + 27³] = Rig≤ ㅗ 6(85 An P18 = = = 2 ² 3x7 (b) How many terms would be needed to approximate S to six decimal places? (Hint: the fifth root of two is about equal to 1.15.) # 10. Let D be the region bounded by the circle of radius 2 which is centered at the point (6,0) in the xy-plane. Use Pappus's theorem to find the volume obtained by revolving D about the y-axis.