Let P be the parabola y = px 2 and H be the right half of the

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Let P be the parabola y = px2 and H be the right half of the hyperbola x2 - y2 = 1. 

a. For what value of p is P tangent to H?

b. At what point does the tangency occur?

c. Generalize your results for the hyperbola x2/a2 - y2/b2 = 1.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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