A curve has equation y = x 2 e x . The curve has a minimum point

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A curve has equation y = x²e^x.

The curve has a minimum point at P and a maximum point at Q.

a. Find the coordinates of P and the coordinates of Q.

b. The tangent to the curve at the point A(1, e) meets the y-axis at the point B.

The normal to the curve at the point A(1, e) meets the y-axis at the point C.

Find the coordinates of B and the coordinates of C.

c. Find the area of triangle ABC.

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Question Posted: Sep 02, 2021 12:50 AM

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A curve has equation y = x 2 e x . The curve has a minimum point

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a To find the coordinates of the minimum point P and the maximum point Q we need to find the critica...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

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