The diagram shows the part of the curve with equation y = 5 1/2 x 2
Question:
The diagram shows the part of the curve with equation y = 5 − 1/2 x2 for which y > 0. The point P(x, y) lies on the curve and O is the origin.
a. Show that OP2 = 1/4 x4 − 4x2 + 25. Taking f(x) = 1/4 x4 − 4x2 + 25:
b. Find the values of x for which f'(x) = 0.
c. Hence, or otherwise, find the minimum distance from O to the curve, showing that your answer is a minimum.
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Step by Step Answer:
a To show that OP2 14x4 4x2 25 we need to find the distance squared between the point Px y on the cu...View the full answer
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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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