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[8] SOLVE the separable differential equation. Give simplied form for answer. 30! +2) = (X+6)y' [9] SET UP [NTEGRAL(S) for the volume of the solid
[8] SOLVE the separable differential equation. Give simplied form for answer. 30! +2) = (X+6)y' [9] SET UP [NTEGRAL(S) for the volume of the solid of revolution obtained by rotating the given region about the given axis of revolution.( Do not evaluate integrals.) Show work in using the formulas V\". = m'zh and v5]... = 21!:(ave. radius)(height)(thiekness) [a] Region bounded by y = {if , y = 2 , F 0 (y-axis) about the line 3/ = 2 using DISKS. [a] Region bounded by y = N]; , y = 2 , x= 0 (y-axis) about the line y = 2 using CYLINDRICAL SHELLS. [10] Test the following positive series for CONVERGENCE/DIVERGENCE. Show work. Use LIMIT COMPARISON TEST. 0'.) 2 34.4.4. 4k +k+3 k=1 [1 I] Find the INTERVAL 0F CONVERGENCE of the following POWER SERIES. Show work. 00 Z (3)\" (x+4)\" k k=1
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