Consider the graph of the cubic y = x(x - a)(x - b), where 0 < a
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Consider the graph of the cubic y = x(x - a)(x - b), where 0 < a < b. Verify that the graph bounds a region above the x-axis, for 0 < x < a, and bounds a region below the x-axis, for a < x < b. What is the relationship between a and b if the areas of these two regions are equal?
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If 0 x a then x 0 x a 0 and x b 0 so the product of these three quantities is positive If a x b ...View the full answer
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Related Book For 
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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