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a) Let y = 1*. Then 1x=0.5= dy dx dy |x=0.5 g'(0.5) = dx b) Let g(x) be the linear function so that the straight line y-g (x) passes through the points (0,1) and (1,1). Then approximating the derivative in Part a) with g'(0.5) yields 2 4 ) The absolute error in the approximation in Part b) is

a) Let y = 1*. Then 1x=0.5= dy dx dy |x=0.5 g'(0.5) = dx b) Let g(x) be the linear function so that the straight line y-g (x) passes through the points (0,1) and (1,1). Then approximating the derivative in Part a) with g'(0.5) yields 2 4 ) The absolute error in the approximation in Part b) is

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Enter your answers in the text boxes. Apply two decimal place rounding where applicable. a) Let y = 1*. Then dy dx x=0.5 g'(0.5) = dy dx 2 |x=0.5 b) Let g(x) be the linear function so that the straight line y=g (x) passes through the points (0,1) and (1,1). Then approximating the derivative in Part a) with g'(0.5) yields = c) The absolute error in the approximation in Part b) 4 is
Transcribed Image Text:Enter your answers in the text boxes. Apply two decimal place rounding where applicable. a) Let y = 1*. Then dy dx x=0.5 g'(0.5) = dy dx 2 |x=0.5 b) Let g(x) be the linear function so that the straight line y=g (x) passes through the points (0,1) and (1,1). Then approximating the derivative in Part a) with g'(0.5) yields = c) The absolute error in the approximation in Part b) 4 is
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