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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=

Sagot :

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