n/courses/2282855/quizzes/7504775/take YouTube Maps C Coinbase Find the exact area of the surface obtained by rotating the curve y = \\ 1 +5x on the interval i s x $ 7 about the x-axis. O 309n 5 O 1236TT O 618TT O 309T 10 O None of these D Question 23 2 pts Find Y and evaluate at (1/2, 0): X = = t+ 1 dx2 v=12 - 1 O2 0 8 O 32 0 64 o dy ; is not defined at (1/2, 0) dx2 O None of these Q U DII DD F2 F3 FA F5 F6 F7 F8 F9 F10D Question 23 X = Find and evaluate at (1/2, 0): t+ 1 dx 2 y = 12 - 1 Oo . O 2 0 8 O 32 O 64 O dy is not defined at (1/2, 0) dx2 None of these D Question 24 Find an integral for the area of the surface generated by revolving the para x = sin2t y = sin(2t) Osts ?Question 24 1.5 pts Find an integral for the area of the surface generated by revolving the parametric curve about the y-axis: x = sin't V = sin(2t) Osts ? 2 TT [ Z sin ( 2t) (cost)? + (2cos(21)2 dt 2 TT [ Z sin(2t ) (2cost)2 + (2cos(2t)) at 2Tt [ 2 sin(2t) (2sintcost) +(2cos(2t))2 dt 2Tt Z sin?tv (2sintcost)2 +(2cos(2t)) at 2 Tt [ Z sin?tv (2cost)2 +(2cos(2t)) dt 2 TT [ 2 sin?tv (cost)2 + (2cos(21))2 dt O None of these 20 Q O DII DD F3 FA F6 F7 F8 F9 F10 $ % & 3 5 6 8 9 0:3' Question 25 Which of the following polar points is equivalent to the rectangular point (4' _ 4g)? Select all that are equivalent. 1."? (8., TI/gl -1 (-8 Ell/Bl e (8. 4X3) Question 26 I Find all the points at which the tangent line to the curve is vertical? Select all that apply. I x =CDSEEE) ll v=35in9 YouTube Maps C Coinbase TOTIC UP TICSL PUIn art CHUIvanIn D Question 26 Find all the points at which the tangent line to the curve is vertical? Select all that apply. x = cos(30) V = 3sine 0 1, - 3V3 2 0 -1, - 373 2 1, 3V3 2 " (-1, 3VB O (1, 0) O (-1, 0) The tangent line is not vertical at any of these points. D Question 27 Describe the graph of the polar equation: r = 3cscocote O lineThe tangent line is not vertical at any of these points. D Question 27 Describe the graph of the polar equation: r = 3cscocote O line O circle O ellipse O parabola O limacon O None of these D Question 28 Which of the following polar points are intersection points of the polar Select all that apply. O pole 0 3 + 132 Question 28 r=3+c058._, Which at the following polar points are intersection points of the polar graphs: 3 4 S . r = 5 In Select all that apply. [I pole JET | ip3+;'3 * J34 D l Question 29 l Which of the followlng are tangent lines to r = 2cos(93j at the pole? Select all that apply. I IZIB=0 Cle=u19 D Question 29 Which of the following are tangent lines to r = 2cos(90) at the pole? Select all that apply. 0 0=0 0 0 = 1/9 0 0 = nt/ 18 0 0 = 1/6 None of these are tangent lines at the pole. D Question 30 Find an integral for the area enclosed by both polar graphs: r =v5sine r =15 cose of ( 5 sino -5 coso) do 25 ( (v 5 sine ) ? - (15 cose)? ) do Q 0 G DII DDQuestion 30 Find an integrai for the area encinsed by both polar graphs: r=sin8 r=c056 211 "I [EsiiiEccadidt' o 6; None of these D . Question 31 1.5 I Find an integral for the work done in pumping all the liquid out at a cylindrical tank if the tank is 3H4 fuii. 2C | tell. has a diameter 01 10 ft, and the liquid i5 being pumped In a platmrm 8 ft above the top of the tank. Tht density of the liquid is 40 lbs f3. ourses/228 UTube PV Maps C Coinbase To Innsanh 1.5 PUS Find an integral for the work done in pumping all the liquid out of a cylindrical tank if the tank is 3/4 full, 20 ft tall, has a diameter of 10 ft, and the liquid is being pumped to a platform 8 ft above the top of the tank. The density of the liquid is 40 lbs /ft3. 0 40 T ( 52 ) [ (28 - v)dy 40 T (52 ) (28 - y )dy -20 0 40 TL (52) (28-v)dy 28 40TT (52 ) [ vdy 28 40 T (52 ) [ vdy O None of these D Question 32 1.5 pts Find an expression for y, the x-coordinate of the centroid of the region bound by the curve x =9-y and the line x = 0. OV= M x m where My = 1 19 - v / av and m = [ 19 - v lov MX where M =1 ( v( Q - v2)dy and m= [ ( 9- 2)div 80 Q U G DII DD F3 FA F5 F6 F7 F8 F9ube RV Maps C Coinbase None of these Question 32 1.5 pts Find an expression for y, the x-coordinate of the centroid of the region bound by the curve x = 9 - y2 and the line x = 0. OV = m * , where My = [ (9 - v ? ) dy and m = f (9 - v3 )av Ov = _x, where MX = JJ v(9-vz)dy and m= / (9 -vz )dy OV = -*, where MX = J v(9-v3 ) dy and m= /(9-v3 )dy O None of these Question 33 2 pts A rectangle has vertices at (3, 10), (7, 10), (3, 8) and (7, 8). Use Pappus' Theorem to find the volume of the solid of revolution formed by revolving the rectangle about the x-axis. O 40TT 0 72 TI O 80 TI 80 Q