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Let R be the region in R2 above the line 3; = 43: + 1 and below the parabola y = 5 1:2. + r

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Let R be the region in R2 above the line 3; = 43: + 1 and below the parabola y = 5 1:2. + r '1} (( a }-'=:1\\'+l Q2 1-:5x2 O (2 2W.8f 7) (5.0) A . | g '01 '0 U ;. $3 :'_jt-' EU a A C) U! U (2+2\\/3.s\\/7) rm (b) Is R a Type I region? If yes, describe it. as a Type I region. If not1 describe it as a union of Type I regions. Use set builder notation. (3) (C) Is R a Type II region? If yes, describe it as a Type II region. If not, describe it as a union of Type II regions. Use set builder notation. (3) (d) Calculate the integral / / 27y LIA R i. by using the order of integration dy dx ii. by using the order of integration dr (13;. (8)

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