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2. Set up but do NOT evaluate an integral to find the area of the region that lies inside both 71 = 1 + cos

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2. Set up but do NOT evaluate an integral to find the area of the region that lies inside both 71 = 1 + cos 0 and 12 = 1 - cos 0. F1 = It cos.0 = + UT , D 1 + coso = 1- cost 2CDSO = 0 COS9 = 0 O D ZTT 0 2 2 NH NMN 2 ( It cose ) do . . . . 2 ( 1 - (o)0 ) do of I 7 ( 1 - ( DSB ) doArea of the region bounded by two polar curves - B A = 2 zr. do -5. (10 pts) Set up an integral (do NOT evaluate) to find the area of the region that lies inside 11 = 3 cos 9 and outside r2 = 1 + cos 6. 6. (10 pts) u is the vector from initial point (0, 0, 0) to terminal point (-1, 1, 3), v = 21 - 3j + 5k, W = -5J. (1) Find u . (v - W). (2) Find the unit vector in the direction of u. (3) Find proju (v - W) 7. (5 pts) a is the vector from initial point (1, 2, 4) to terminal point (2, 4, 5), b = 31 - 2j + 7k. Find a x b

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