(a) R is the region bounded by the curves y = 3 - sinx, z = sinx, x = 0 and x = n. Sketch both curves and shade in the region R. (Graph paper not required). Find the area of the region R in terms of T. (b) The portion of the curve y = 3vx between y = 0 and y = 6 is rotated through a full revolution about the y-axis Sketch the solid of revolution and, by integration, find its volume. Give your answer correct to two decimal places.

Question
(a)
R is the region bounded by the curves y = 3 - sinx, z = sinx, x = 0 and x = n. Sketch both curves and
shade in the region R. (Graph paper not required). Find the area of the region R in terms of T.
(b)
The portion of the curve y = 3vx between y = 0 and y = 6 is rotated through a full revolution about
the y-axis Sketch the solid of revolution and, by integration, find its volume. Give your answer
correct to two decimal places.
Expand
Transcribed Image Text

(a) R is the region bounded by the curves y = 3 - sinx, z = sinx, x = 0 and x = n. Sketch both curves and shade in the region R. (Graph paper not required). Find the area of the region R in terms of T. (b) The portion of the curve y = 3vx between y = 0 and y = 6 is rotated through a full revolution about the y-axis Sketch the solid of revolution and, by integration, find its volume. Give your answer correct to two decimal places.

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