Find the volume of the solid of revolution formed by rotating about the T-axis each resion...

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Find the volume of the solid of revolution formed by rotating about the T-axis each resion bounded by the given curves. a7 f(x) = de", y = 0, x = -2, x=1 2 67 f(x) = x, y = 0, x = \ and x=3 2 1 C7 f(x) = 2, y = 0, x =0 and X = > 2 078(x) = 2 - x, y = 0 4 (2) Find the average value of each function, on the given interval. a) F(x) = dx-1 [1, 13] by f(x) = xnx [1,e] (5) Decide whether the following limits exists. If a limit exists. find its value using the L'Hospital's rule. a lim e* - 1 X-O X4 c lm xe -X x10 30-3 ez lim x xx in (in x) 2 by lim xex x10 ex -1 dz Jum VX -2 X74 4 f) lim x + 1 x 700 x2 nx lim of lim (hex) to Im in (c' + ) 700 5X Find the volume of the solid of revolution formed by rotating about the T-axis each resion bounded by the given curves. a7 f(x) = de", y = 0, x = -2, x=1 2 67 f(x) = x, y = 0, x = \ and x=3 2 1 C7 f(x) = 2, y = 0, x =0 and X = > 2 078(x) = 2 - x, y = 0 4 (2) Find the average value of each function, on the given interval. a) F(x) = dx-1 [1, 13] by f(x) = xnx [1,e] (5) Decide whether the following limits exists. If a limit exists. find its value using the L'Hospital's rule. a lim e* - 1 X-O X4 c lm xe -X x10 30-3 ez lim x xx in (in x) 2 by lim xex x10 ex -1 dz Jum VX -2 X74 4 f) lim x + 1 x 700 x2 nx lim of lim (hex) to Im in (c' + ) 700 5X