The diagram shows a section of the curve with equation y = x 4 + 3x 2
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The diagram shows a section of the curve with equation y = −x4 + 3x2 + 4. The curve intersects the x-axis at points A and B. The finite region R, which is shown shaded, is bounded by the curve and the x-axis.
a. Show that the equation −x4 + 3x2 + 4 = 0 only has two solutions, and hence or otherwise find the coordinates of A and B.
b. Find the area of the region R.
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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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