1. (2)Sketch the graph, r = 3(1_sin(), (b). Find the area of the region inside of r - 3(1 - sind), (just set up a definite integral with proper upper and lower limits ready for integration,) 2. Find the limit: (a) lim (1 -2)", (b) lim xev, 3. (a) Writer = -land in rectangular coordinate system. (b) Change to polar coordinate : x2 + y? - 4y - 0, 4 Find a . :X = 4 cos Sty = 4 sin 51. 5 Test for convergence and divergence, find the value if it converges; 6 Sketch the region bounded by y = 1 + 3x,x = 0,y = 0,x = 2' Find the volume of the solid of revolution by revolving it around x-axis, Z Imegrate: (2) |dx (b) [(x sin 3x) dx R. identify (2) 7 = 5 -4sine (b)r = 30 (c) r = 3sin20 (d) r = cos0 (e) x = a0 - asin0,y = a-acos0