Chapter 7/ Quiz #10 Name___________________________________ MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find a formula for the area A(x) of the cross sections of the solid perpendicular to the x- axis. 1) The solid lies between planes perpendicular to the x- axis at x =0 and x =5. The cross sections perpendicular to the x- axis between these planes are squares whose bases run from the parabola y = -4 x to the parabola y =4 A) 64x B) 4 1) x. x C) 8x D) 8 x Find the volume of the described solid. 2) The solid lies between planes perpendicular to the x- axis at x =0 and x =6. The cross sections perpendicular to the x- axis between these planes are squares whose bases run from the parabola y = -6 x to the parabola y =6 x. A) 2592 B) 2520 C) 1296 2) D) 216 Find the volume of the solid generated by revolving the shaded region about the given axis. 3) About the x- axis 3) y 8 7 6 5 4 3 2 1 y =6sec x 4 A) 18 2 x B) 21 C) 36 D) 6 Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x- axis. 4) y = 25 - x2, y =0, x =0, x =5 A) 10 4) B) 500 3 C) 100 1 D) 250 3 Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line. 5) About the line y =6 5) y 6 5 4 x =6y - y 2 3 2 1 1 2 3 4 5 6 7 8 A) 108 9 10 x B) 432 C) 216 Set up an integral for the length of the curve. 6) y =x8, 0 x 1 1 A) 1 +8x14 dx 6) B) 0 1 C) D) 36 1 1 +64x14 dx 0 1 +64x16 dx D) 0 1 1 +8x7 dx 0 Find the exact length of the curve analytically by antidifferentiation. 7) y =2x3/2 from x =0 to x =5 4 A) 335 3 8) y = x 0 B) 9 4 x D) 335 108 4 sin2t - 1 dt , 0 x 2 A) 1 9) y = C) 335 72 7) 8) C) 2 3 B) 2 D) 4 t2 - 1 dt , 4 x 7 9) 1 A) 12 C) 33 2 B) 33 2 D) 22