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1.) Find the area bounded by the curve y?= 1 - x and 2y = x + 2 2.) Find the area bounded by the curve x y+12 and x 2 (USE VERTICAL AND HORIZONTAL STRIPS) 3.) Find the area of the region which is inside the circle r = 1 and outside the cardioids r=1+ cos (0) 4.) Find the area inside the circle r=v2sin (0) and the lemniscate r? = cos(20) 5.) Find the volume generated by revolving the area bounded by the curve y²=4x, x = 0 about the line y =4(USE DISK AND SHELL METHOD) 6.) Find the volume of the solid generated by revolving by the x-axis, the region bounded by the parabola y =x2 + 1 and the line y =x + 3

1.) Find the area bounded by the curve y?= 1 - x and 2y = x + 2 2.) Find the area bounded by the curve x y+12 and x 2 (USE VERTICAL AND HORIZONTAL STRIPS) 3.) Find the area of the region which is inside the circle r = 1 and outside the cardioids r=1+ cos (0) 4.) Find the area inside the circle r=v2sin (0) and the lemniscate r? = cos(20) 5.) Find the volume generated by revolving the area bounded by the curve y²=4x, x = 0 about the line y =4(USE DISK AND SHELL METHOD) 6.) Find the volume of the solid generated by revolving by the x-axis, the region bounded by the parabola y =x2 + 1 and the line y =x + 3

Intermediate Algebra
Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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II. Solve the following problems: 1.) Find the area bounded by the curve y2= 1 - x and 2y = x + 2 y+12 2.) Find the area bounded by the curve x =: and x = (USE VERTICAL AND HORIZONTAL STRIPS) 3.) Find the area of the region which is inside the circle r = 1 and outside the cardioids r = 1+ cos (0) 4.) Find the area inside the circle r=v2sin (0) and the lemniscate r2 = cos(20) 5.) Find the volume generated by revolving the area bounded by the curve y²=4x, x = 0 about the line y =4(USE DISK AND SHELL METHOD) 6.) Find the volume of the solid generated by revolving by the x-axis, the region bounded by the parabola y =x2 + 1 and the line y =x + 3
Transcribed Image Text:II. Solve the following problems: 1.) Find the area bounded by the curve y2= 1 - x and 2y = x + 2 y+12 2.) Find the area bounded by the curve x =: and x = (USE VERTICAL AND HORIZONTAL STRIPS) 3.) Find the area of the region which is inside the circle r = 1 and outside the cardioids r = 1+ cos (0) 4.) Find the area inside the circle r=v2sin (0) and the lemniscate r2 = cos(20) 5.) Find the volume generated by revolving the area bounded by the curve y²=4x, x = 0 about the line y =4(USE DISK AND SHELL METHOD) 6.) Find the volume of the solid generated by revolving by the x-axis, the region bounded by the parabola y =x2 + 1 and the line y =x + 3
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