The curve C has equation y = 4x + 3x 3 /2 2x 2 , x

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The curve C has equation y = 4x + 3x³^/2 − 2x², x > 0.

a. Find an expression for dy/dx.

b. Show that the point P(4, 8) lies on C.

c. Show that an equation of the normal to C at point P is 3y = x + 20. The normal to C at P cuts the x-axis at point Q.

d. Find the length PQ, giving your answer in simplified surd form.

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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

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Question Posted: Jul 15, 2023 03:27 AM

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The curve C has equation y = 4x + 3x 3 /2 2x 2 , x

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a To find the expression for dydx we need to differentiate the equation y 4x 3x32 2x2 with respect t...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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