The curve C has equation y = 4x + 3x 3 /2 2x 2 , x
Question:
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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Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
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