This preview shows pages 1–3. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Derivative: Numerical and Graphical Homework Solutions STOR 112 1. 10.5.6 t h ( R ( t + h ) R ( h )) /h 3 1.00 46.00 3 0.10 47.80 3 0.01 47.98 10.5.8 t h ( R ( t + h ) R ( h )) /h 2 1.00 31.000 2 0.10 37.390 2 0.01 37.940 10.5.14 In the graph, the tangent line passes through (0 , 0) and (3 , 6). Therefore its slope is 2. 10.5.16 In the graph, the tangent line passes through (0 , 4) and (6 , 1). Therefore its slope is 1 / 2. 10.5.18 (a) P (b) R 10.5.20 (a) Q (b) R 10.5.24 (a) Point R has a tangent line with slope 0 (b) Point Q has a tangent line with slope 1 (c) Point P has a tangent line with slope 1 10.5.26 (a) Point P has a tangent line with slope 0 (b) Point Q has a tangent line with slope 3 (c) Point R has a tangent line with slope 1 10.5.44 y ( 1) ≈ y ( 1 + 0 . 001) y ( 1) . 001 = 2 . 001 10.5.46 s (2) ≈ s (2 + 0 . 001) s (2) . 001 = 3 . 001 10.5.48 R (400) ≈ R (400 + 0 . 001) R (400) . 001 ≈ . 025 2. 10.5.34 (A) The derivative at each point is the slope of the tangent line, not the approximate...
View
Full
Document
This note was uploaded on 11/27/2011 for the course STOR 112 taught by Professor Rubin,david during the Fall '06 term at UNC.
 Fall '06
 RUBIN,David

Click to edit the document details