. . . B V Oh V online.mun.ca C SAS mow my.mun.ca Written A.9-10 - MATH-1001-081 (Calculus I1 95050) TOPICS 1-2: Volumes - Disk & Washer Method Q.#1-Q.#2: Graphs are provided, not normally the case for exams. Q.#1 The region enclosed by y = 2-x , the x-axis & the y-axis (Figure 1(a)) is rotated about the x-axis to create a solid shape (Figure 1(b)). y= 2-x 2 J = 2 - X Figure 1(a) Figure 1(b) Please find the following. Final Answer a) the limits of integration using Figure 1(a). Final Answer b) the volume of the resulting solid using Figure 1(b) and the disk/washer method. Download Print. . . B V online.mun.ca C SAS How my.mun.ca Written A.9-10 - MATH-1001-081 (Calculus |1 95050) Final Answer c) the volume of the resulting solid using Figure 1(b) and the cone volume formula Page 2 of 8 Q.#2 The region enclosed by y = x', the line x= 1 & the x-axis (Figure 2(a)) is rotated about the y-axis to create a solid shape (Figure 2(b)). (1 , 1 ) X y = x ] V y ex VX 1 Figure 2(a) Figure 2(b) Please find the following. Final Answer a) the limits of integration using Figure 2(a). Download Print <. . b v> online.mun.ca C SAS and my.mun.ca Written A.9-10 - MATH-1001-081 (Calculus I1 95050) Q.#2 The region enclosed by y = x', the line x= 1 & the x-axis (Figure 2(a)) is rotated about the y-axis to create a solid shape (Figure 2(b)). y=x yex V X=1 Figure 2(a) Figure 2(b) Please find the following. Final Answer a) the limits of integration using Figure 2(a). Final Answer b) the volume of the resulting solid using Figure 2(b) and the disk/washer method. Download Print. . . B V Oh V online.mun.ca C SAS my.mun.ca Written A.9-10 - MATH-1001-081 (Calculus |1 95050) Q.#3-Q.#11: Sketch your own graphs, like for exams. Q.#3 The region bounded by the graphs of y= x - 2x + 1 , y=0 (x-axis) and x= 0 (y-axis) is rotated about various axes (see below) to create a solid shape. Please do the following. a) Sketch/shade this region using axes at right. Hint: Completing the square may help with graphing. b) Sketch the resulting solid when this region is rotated about the x-axis. c) Find the limits of integration. Download Print <