Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

Chapter 4 - Section 4.7 - Optimization Problems - 4.7 Exercises: 5

Answer

$2.25$

Work Step by Step

Line: $y = x + 2$ Parabola $y = x^2$ Since y is already solved for, plug it into the line formula: $x^2 = x + 2$ Set it equal to 0: $0 = -x^2 + x + 2$ Take the derivative: $= -2x + 1$ Solve for x: $x = 1/2$ Plug x back in: $0 = -x^2 + x + 2-(1/2)^2 + (1/2) + 2= 2.25$
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