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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...
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 Fall '06
 RUBIN,David
 Approximation, Derivative

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