Question

No48, 49, 50, 51 Please show me the details of solutions!!

VOLUME In Questions 48-54 the region whose boundaries are given is rotated about the line indicated. Choose the alternative that gives the volume of the solid generated 48. y x" and y 4; about the line y -1. 49. y-3x x2 and y 0; about the x-axis. π(3(9x2 + x4) dr (A)

Answer 1

To solve this problem our approach will be as follows;

Solution:- The qiven equation of curve -x2y4 about line ye- 2. le used washes ethod to fino volume of solic Tn washee method Strip is peepen dion R-is outer radius is las ges t distance from axis of rofadtian r-is inne邑TQdius, smalle sl distance from axis ofrot ation R (4)5 The point intersecions re 21 2

2 2. The fundion 24x1 is even, so 2 1's comect The option o abou T-axs The sketch of the given curve ts, Here R = (9x-x2) The point ơfinteT'Sechon of the curve is, 2.

COEe The option C6 S) Consides the given curve, The paint of indee cton is sr-T2ーズ The orton © is correct

51) conside the given euryve 4 lhe point ofintersechon ofthe ve is, of intersection is Jeo'ycl Th e po int 21 dy e- e The option ① is comed.