1 ) You want to find the volume of the soled oblained by rotating about x-axis the region under the curve y=x" 17 from 0 to 3 . You first slice through the rolaled solid at a generic point x and get a circular cross-section, what is the area of the circular cross- section? A(X ) = ? This makes the volume of the approximaling disk will clickness Ax equal to which expression ? volume of disk = ? Now let An approach 0, and sum the volumes of infinitely many disks that approximate the solid of revolution. what tolal volume do you get ? V = / A lx) dx = ? 2) Suppose what R is live finele region bounded by y = x, y = x + 40 x20 and x = 2 Find the exact value of the object we obtain when rotating R about the x- axis . V = ] 3 ) Find the volume formed by rotating lie region enclosed by x = 4. 9 4 and ys = x will y zo 4 ) Find the volume of the solid formed by rotating the region enclosed by Y = e + 2, 420, x = 0, x = 0.5 about the x-axis 5) Suppose R is the finite region bounded by f (x) = 3 Vn and g(x ) =x find the exact value of lice volume of the object we obtain when rotating R about the x-axes find the exact value of the volume of the object when rotating R about y- axis 6) Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified areis. y = x* , 4 = 1 about y =6