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Diagram shows part of the curve y= -8x ³ - 1

The curve intersects the x-axis at S and the y-axis at T. Line SU is a tangent to the curve at point S

(a) Find the coordinates of points S, T and U.
(b) Hence, calculate the area of the shaded region

c) the volume generated, in terms of π , when the area bounded by the curve, x-axis and y-axis is rotated through 360° about the x-axis.

Diagram shows part of the curve y 8x 1 The curve intersects the xaxis at S and the yaxis at T Line SU is a tangent to the curve at point S a Find the coordinate class=


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