Question

Incorre Find the volume of the solid that results from rotating the region bounded by the graphs of y - 6x - 5 = 0, y = 0, and x = 1 about the x-axis. Write the exact answer. Do not round. Answer Keypad

Answer 1

and x= 1 we know Now Given region bounded by graphe Y-60-5=0 y = 6x15, y=0 Jotation about x-axis. so that formula for washers method when sotation about x-axis is given by v=1 acacb Here f(x) = outer cune g(x) = row of cuore from rotation anis. Now sketch the given region a SO G+x9=h yoga lyzo now from above figure we can say that outer curve is y= 6x+5.50 f(x)=6x+5 lower cuore is y=0. g(x)=0. ond intersects when f(0) = 912) 60+5=0 above Two Curves 62 = -5

b=1 NOW all the 5571 so [a=7 - - 1 and plug values in 0. so v=1 j[(6x+5) 2_ (0)27 an. -8 V = T j ( 36x+25+(2)18X115) ) dx - D - v=n j' (36x² 25+ 60x) ax 60x V=IT 2. 516 ( 26.04.2017 V=17 (120112+25 (1) + 30 (112) -Ti (12(-2)² +251-17] + 301-7) 2] v=T1 12 +25+30] - [[-1500 - 125+750 ~= [[67] - Ti [-25 V=6711 - 01-23-256 +70- 6 36 216 125 + 750 6 36 36 V= 67 17 + 250ií 36 2662 n 36 2412 +250 IT 36 1331 18 36 Au