Q 0.00 10 0.02 8.187 0.04 6.703 0.06 5.488 0.08 4.493 0.10 3.678 Solution In the following figure we plot the data and use it to sketch a curve that approximates the graph of the function Q(coulombs) 10 0.02 0.04 0.06 0.08 0.10 Given the points P(0.04, 6.703) and R(0.00, 10) on the graph, we find that the slope of the secant line PR, rounded to two decimal places, is as follows. 10-(x moo 0.00 -0.04 The following table shows the results of similar calculations for the slopes of other secant lines. R (0.00, 10) (0.02, 8.187) -74,20 (0.06, 5.488)-60.75 (0.08, 4.493) -55.25 (0.10, 3.678)-50.42 mp Q(coulombs) 104 8 x. From this table we would expect the slope of the tangent line at t-0.04 to lie somewhere between -74.20 and -60.75. In fact, the average of the slopes of the two closest secant lines is as follows. (-74.20-60.75) - (seconds) So, by this method, we estimate the slope of the tangent line, rounded to the nearest integer, to be about x Another method is to draw an approximation to the tangent line at P and measure the sides of the triangle ABC, as in the figure below. JAB J 0.02 0.04 0.06 0.08 0.10 (seconds) This gives an estimate of the slope of the tangent line as 5.362-8.044 5.362-8.094-67.05. 0.06 -0.02 。
Q 0.00 10 0.02 8.187 0.04 6.703 0.06 5.488 0.08 4.493 0.10 3.678 Solution In the following figure we plot the data and use it to sketch a curve that approximates the graph of the function Q(coulombs) 10 0.02 0.04 0.06 0.08 0.10 Given the points P(0.04, 6.703) and R(0.00, 10) on the graph, we find that the slope of the secant line PR, rounded to two decimal places, is as follows. 10-(x moo 0.00 -0.04 The following table shows the results of similar calculations for the slopes of other secant lines. R (0.00, 10) (0.02, 8.187) -74,20 (0.06, 5.488)-60.75 (0.08, 4.493) -55.25 (0.10, 3.678)-50.42 mp Q(coulombs) 104 8 x. From this table we would expect the slope of the tangent line at t-0.04 to lie somewhere between -74.20 and -60.75. In fact, the average of the slopes of the two closest secant lines is as follows. (-74.20-60.75) - (seconds) So, by this method, we estimate the slope of the tangent line, rounded to the nearest integer, to be about x Another method is to draw an approximation to the tangent line at P and measure the sides of the triangle ABC, as in the figure below. JAB J 0.02 0.04 0.06 0.08 0.10 (seconds) This gives an estimate of the slope of the tangent line as 5.362-8.044 5.362-8.094-67.05. 0.06 -0.02 。
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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Question
Please solve this homework
This math equation needs to be solved
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Step 1: Evaluation Slope of the secant line:
Slope of the secant line is given
slope,
We have given point ,
Slope of secant line PR is given by:
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