The diagram shows part of the curve with equation y = x 12x + 36x. The

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The diagram shows part of the curve with equation y = x³ − 12x² + 36x. The x-axis is a tangent to the curve at P.

a) Find the coordinates of P. The curve has a maximum turning point at Q.

b) Find the coordinates of Q. The shaded area is bounded by the curve and the x-axis.

c) Find the area of the shaded region.

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Complete Pure Mathematics 1 For Cambridge International AS & A Level

ISBN: 9780198427438

2nd Edition

Authors: Jean Linsky, Brian Western, James Nicholson

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Question Posted: Apr 14, 2023 11:28 AM

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The diagram shows part of the curve with equation y = x 12x + 36x. The

Question:

श्र Q P X

Step by Step Answer:

a Since the xaxis is tangent to the curve at P the derivative of the curve at P must be zero Taking ...View the full answer

Complete Pure Mathematics 1 For Cambridge International AS & A Level

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