1) Three regions are defined in the figure. C (0,3 y 0 R y=3x R3 y...

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1) Three regions are defined in the figure. C (0,3 y 0 R₂ y=3√x R3 y y=3x C (0, 2) R₁ 2) Three regions are defined in the figure. R₂ A (1,0) y = 2√√x (1,3) Find the volume generated by rotating the given region about the specified line. R₂ about O C R3 y=2x R₁ B(1,2) ● A (1,0) . ● ● The rectangle is formed by the origin, point A (1, 0), point B (1, 3), and point C (0, 3). The line y = 3x begins at the origin, goes up and right, and ends at point B (1, 3). The curve y = 3x begins at the origin, goes up and right becoming less steep, and ends at point B (1, 3). Region R₁ is below the line, above the x-axis and left of the line segment A B. Region R₂ is above the curve, right of the y- axis and below the line segment B C. Region R3 is below the curve and above the line. The rectangle is formed by the origin, point A (1, 0), point B (1, 2), and point C (0, 2). The line y = 2x begins at the origin, goes up and right, and ends at point B (1, 2). The curve y = 2x begins at the origin, goes up and right becoming less steep, and ends at point B (1, 2). Region R₁ is below the line, above the x- axis and left of the line segment A B. Region R₂ is above the curve, right of the y- axis and below the line segment B C. Region R3 is below the curve and above the line. Find the volume generated by rotating the given region about the specified line. R2 about B C 1) Three regions are defined in the figure. C (0,3 y 0 R₂ y=3√x R3 y y=3x C (0, 2) R₁ 2) Three regions are defined in the figure. R₂ A (1,0) y = 2√√x (1,3) Find the volume generated by rotating the given region about the specified line. R₂ about O C R3 y=2x R₁ B(1,2) ● A (1,0) . ● ● The rectangle is formed by the origin, point A (1, 0), point B (1, 3), and point C (0, 3). The line y = 3x begins at the origin, goes up and right, and ends at point B (1, 3). The curve y = 3x begins at the origin, goes up and right becoming less steep, and ends at point B (1, 3). Region R₁ is below the line, above the x-axis and left of the line segment A B. Region R₂ is above the curve, right of the y- axis and below the line segment B C. Region R3 is below the curve and above the line. The rectangle is formed by the origin, point A (1, 0), point B (1, 2), and point C (0, 2). The line y = 2x begins at the origin, goes up and right, and ends at point B (1, 2). The curve y = 2x begins at the origin, goes up and right becoming less steep, and ends at point B (1, 2). Region R₁ is below the line, above the x- axis and left of the line segment A B. Region R₂ is above the curve, right of the y- axis and below the line segment B C. Region R3 is below the curve and above the line. Find the volume generated by rotating the given region about the specified line. R2 about B C

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R about BC Volume 33x Yu dx ax 975 2 1x dx x 2... View the full answer