19 Volume - 19. VOLUME 1. Let R be the region in the x-y...

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Unformatted text preview: 19. VOLUME 1. Let R be the region in the x-y plane bounded by the x-axis, the lines 4 , 4 3 =- = x x and the curve y = cos x sin x . Find the volume of the solid generated when R is rotated about the x-axis. __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ VET Calculus 118 19. Volume 2. Let R be the region bounded by the x-axis, the y-axis, the line y = 1 and the curve y = ln x . (a) [4 marks] Find the area of the region. __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ __________________________________________________________________________________ (b)[4 marks] Find the volume of the solid generated when R is rotated about the y-axis....
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19 Volume - 19. VOLUME 1. Let R be the region in the x-y...

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