Question

Find the volumes of the solids whose bases are bounded by the graphs of y = x + 1 and y ? - 1, with the indicated cross sections taken perpendicular to the xaxis (a) squares (b) rectangles of height 1 Need Help? Read Tato Tuter

Answer 1

in b question hight is constant so its area is just multiply by 1 to get volume.

by=xti volume this is height of square at BT the crossection is square Particular se because so breath-herart 10, 2- - Y - Z = (x+ D- (x²+1) = x x+& -se2 volume - area. height f asla= dy for limit x+1=x²-, X+1 volume x²-x-220 a) = +,x=2 2-x²) dy dx - y = x² j| 634 () de jue-*) (*133) j ou f*********** *-**** ***** dve x²+4+x² + 4x - 4x² - 2x3dx - 2x² – 3x² +42 +4 da - 2 2 x? +24x2 22 - 1-8 -% + 8 + 8) +6 +1 +2-4) b.) height =1 so who de parede *&+4-45-4+ - 24 -16+3+2 = 1 de