a. Show that the expression equals a if a b and equals b if b

Question:

a. Show that the expression

equals a if a ≥ b and equals b if b ≥ a. In other words, max {a, b} gives the larger of the two numbers a and b.

b. Find a similar expression for min {a, b}, the smaller of a and b.

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Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

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a. Show that the expression equals a if a b and equals b if b

Question:

max {a, b} = a + b 2 + |a - bl 2

Step by Step Answer:

a To show that max a b a b2 a b2 we can break it down into cases Case 1 a ...View the full answer

Thomas Calculus Early Transcendentals

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