6. Find the area of the region enclosed by the functions f(x) = (x-1)', g(2) = x', and the x-axis. O O 12 O 12 O 7. The area between the curvey = z' + 2 and the x-axis from a = 0 tor = 3 is1. What is the area between the curves y = sin z and y = cost on the interval from * = 0 tox = #? O 2 O v2 O V3-1 O v2 -1 O 2. What is the area between the curvesy = -r and y = -1 ? O O O 3. The area enclosed between the curves y = et and y = e * from a = -2 to a = 0 is equal to e2 + 4 - 2. O False O True 4. What is the area between the curves y = a and y = -2 + 21 ? O O O O 5. What is the area between the curves y = sin (x) y= 1 , X = 7, and x = 1 ? O 3. + 1 O O 15. A solid is created when the region in the first quadrant bounded by the curves y = r', y = 4x" and y = 4 is rotated about the line > = 5. What is the volume of this solid? 6.283 O 25.133 O 301.593 180.956 O 64.926 6. A solid is created when the region bounded by the curves e", y= -1, = = 0 and = = 1 is rotated about the line y = -1. What is the volume of this solid? (You may evaluate the integral on a calculator after set up.) O 38.954 45.237 O 65.309 O 53.629 O 25.166 7. A solid is created when the region bounded by the curves y = (x - 1)' and y = In(x) is rotated about the line x = 1. What is the volume of this solid? (You may set up and evaluate the integral using a calculator.) 0.206 1.492 0.052 0.764 5.9491. A solid is created when the region bounded by the curves y = x' and y = 24/" is rotated about the line y = 3. Which of the following integrals gives the volume of this solid? On f [(32 + 3)2 - (22/2+3)2] da Ox [(3 -27) - (3-27)2] du 2. A solid is created when the region bounded by the semicircles y= V16 - 72 y = V4- and the x-axis is rotated about the x-axis. What is the volume of this solid? O Such a solid does not exist. 1287 3. Find the volume of the solid created when the region bounded by y = 2, y= x - 1 and * = 0 is is rotated about the y-axis. 9TT O 217 Calculator Section 4. R denotes the region bounded by the curves y = (3 - 3)" and y = In(x). A solid is created when R is rotated about the line y = 0. What is the volume of this solid? ( You may set up and evaluate the integral using a calculator.) 4.387 9.747 O 6.726 O 4.198 1.551