Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.1 Exercises: 7

Answer

A) Look at graph for solution B) m1 = 1, m2 = 1.5, m3 = 2.5 C) 2, to improve result, get points closer to P.

Work Step by Step

A) $ y = 6(3)-(3)^{2} = 9$ $ y = 6(2.5)-(2.5)^{2} = 8.75$ $ y = 6(1.5)-(1.5)^{2} = 6.75$ B) $m1 = \frac{8-9}{2-3} = 1$ $m1 = \frac{8-8.75}{2-2.5} = 1.5$ $m1 = \frac{8-6.75}{2-1.5} = 2.5$ C) The slope of the tangent line at point P is approx. 2. To improve the approximation, look at the points closer to P.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.