Farmer Jones and his wife, Dr. Jones, decide to build a fence in their field to keep their sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described by y = 9x 2 and y = x...

Farmer Jones and his wife, Dr. Jones, decide to build a fence in their field to keep their sheep safe. Since Dr. Jones is a mathematician, she suggests building fences described by y = 9x 2 and y = x 2 +7. Farmer Jones thinks it would be easier just to build an enclosure with straight sides, but he wants to please his wife, so he follows her suggestion. The area of the enclosed region is . Correct Answers: • 8.73053 2. (1 point) Find the area of the region that is enclosed between y = 2 sin(x) and y = 4 cos(x) from x = 0 to x = 0.9p. The area is . Hint: Notice that this region consists of two parts. Correct Answers: • 7.61032 3. (1 point) Find the area of the region that is enclosed between y = 11x 2 -x 3 +x and y = x 2 +25x. The area is . Correct Answers: • 49.3333 4. (1 point) Sketch the region enclosed by y = 6x and y = 9x 2 . Decide whether to integrate with respect to x or y, and then find the area of the region. The area is . Correct Answers: • 0.444444 5. (1 point) Sketch the region enclosed by y = e 2x , y = e 5x and x = 1. Decide whether to integrate with respect to x or y, and then find the area of the region. The area is . Correct Answers: • 26.2881 6. (1 point) Sketch the region enclosed by x + y 2 = 30 and x+y = 0. Decide whether to integrate with respect to x or y, and then find the area of the region. The area is . Correct Answers: • 221.833 7. (1 point) Find the points of intersection of the graphs of the functions y = x 2 -4 and y = 0 (enter your answer as a comma separated list) Then find the area bounded by the curves y = x 2 -4, y = 0, x = 1 and x = 3. Area = Correct Answers: • -2, 2 • 4 8. (1 point) Find the points of intersection of the graphs of the functions x = 18-y 2 and x = y 2 (enter your answer as a comma separated list) Then find the area bounded by the curves x = 18-y 2 and x = y 2 . Area = Correct Answers: • -3, 3 • 72 9. (1 point) Find the points of intersection of the graphs of the functions y = sin(4x) and y = 0 for x between x = 0 and x = 3p 8 (enter your answer as a comma separated list) Then find the area bounded by the curves y = sin(4x) and y = 0 for x between x = 0 and x = 3p 8 Area = Correct Answers: • 0, 0.785398 • 0.75 10. (1 point) Find the points of intersection of the graphs of the functions y = e 3x and y = e -x for x between x = -2 and x = 1 (enter your answer as a comma separated list) Then find the area bounded by the curves y = e 3x and y = e -x for x between x = -2 and x = 1 Area = Correct Answers: 1 • 0 • 11.7863 11. (1 point) Sketch the region enclosed by 2y = 4 v x, y = 5, and 2y+4x = 8. Decide whether to integrate with