Farmer Jones and his wife, Dr. Jones, decide to build a fence in their field to keep their sheep...

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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: • XXXXXXXXXXpoint) 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: • XXXXXXXXXXpoint) 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: • XXXXXXXXXXpoint) 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: • XXXXXXXXXXpoint) 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: • XXXXXXXXXXpoint) 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: • XXXXXXXXXXpoint) 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 • XXXXXXXXXXpoint) 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 • XXXXXXXXXXpoint) 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, XXXXXXXXXX • XXXXXXXXXXpoint) 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 • XXXXXXXXXXpoint) Sketch the region enclosed by 2y = 4 v x, y = 5, and 2y+4x = 8. Decide whether to integrate with

Robert · Accepted Answer

Ayad Alafnan s117dacaom1452s102
Assignment HW6.1 due 06/12/2017 at 11:59pm CDT
1. (1 point) 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 de-
scribed by y = 9x2 and y = x2 +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 be-
tween y = 2sin(x) and y = 4cos(x) from x = 0 to x = 0.9π.
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 be-
tween y = 11x2− x3 + x and y = x2 +25x.
The area is .
Correct Answers:
• 49.

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...

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