6:04 0 PDF Q9 ON Call all 75% MAT 112 FINAL EXAM FALL 22 Q-1. Sketch the region bounded by the graphs of the equations and find the area of the region. y =6 -58, y=z, x= -2, x=2 Q-2. Use a graphing utility to graph the region bounded by the graphs of the equations and find the area of the bounded region. y= x - 8 + 3, y = 3+ & - x2 Q-3. Use a graphing utility to graph the region bounded by the graphs of the equations and find the area of the bounded region. x = y - 2y, x= -1, y=0 O6:04 . PDF . ON all all 75% MAT 112 FINAL EXAM FALL 22 Q-4. Use the graphing utility to graph the region bounded by the graphs of the equations and find the volume of the bounded region revolving about the x-axis using the disk method. y = 6 -2. = x = -2, x = 2 Q-5. Use the graphing utility to graph the region bounded by the graphs of the equations and find the volume of the bounded region revolving about the y-axis using the shell method. y =6 -58, y= =, x= -2, x =2 O6:04 . PDF . Q & all all 75% MAT 112 FINAL EXAM FALL 22 Q-6. Use the graphing utility to graph the region bounded by the graphs of the equations and find the volume of the bounded region revolving about the line x = 6 using: a) The disk method b) The shell method y = 6 -5 SP, y= Z, x= -2, x=2 Q-7. Use the graphing utility to graph the region bounded by the graphs of the equations and find the volume of the bounded region revolving about the line y = 8 using: a) The disk method b) The shell method y = 6 - 5 5x, y = , x= -2, x = 2 OMAT 1 12 FINAL EXAM FALL 22 -1 31 . Q-S. Evaluate lo 9 SHLZX' d.'(_ Round your answer 10 three decimal places. div 2 0-9. Solve E = x x _ 22. III C) ( 6:04 . PDF . ON all al 75% MAT 112 FINAL EXAM FALL 22 Q-10. Find the indefinite integral. Cos-30 de Asin30 Q-11. Find the indefinite integral by making the substitution x = 8sin 0. X (64-2,3/2 ax O6:04 . PDF . all l 75%% MAT 112 FINAL EXAM FALL 22 Q-12. Find the indefinite integral by making the substitution x = 2tan 0. jx / 4+x2 dx 16x - 130 Q-13. Find the integral x2 - 16x + 63 dx O6:04 . PDF . all l 75%% MAT 112 FINAL EXAM FALL 22 (-1)*+1 Q-14. Determine whether the series 27=1 4 4 converges conditionally or absolutely, or diverges. Q-15. Approximate the sum of the series by using the first six terms. Too (-1)"2 Zn=0 n! O6:05 . PDF . Q & all all 75% MAT 112 FINAL EXAM FALL 22 Q-16. Find a first-degree polynomial function P, whose value and slope agree with the value and slope of f (x) = - 12 Yat X = 36. Q-17. Find the Maclaurin polynomial of degree 4 for the function. f(x) =3x O6:05 . PDF . Q & all all 75%% MAT 112 FINAL EXAM FALL 22 o (x-9)" Q-18. State where the power series 2n=1" is centered. Q-19. Find the radius of convergence of the power series. (-1)"x" Zn=0 O