A В C Figure 1: Graph of y (a) Apply Intermediate Value Theorem to find the smallest interval (a, b) that contains the r-coordinate of the intersection point C, where a and b are integers.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The curve y = 4r+2r+7a2- 26x +e -4 intersects the r-axis at three points
as shown in Figure 1.
A
В
C
Figure 1: Graph of y
(a)
Apply Intermediate Value Theorem to find the smallest interval (a, b) that
contains the r-coordinate of the intersection point C, where a and b are
integers.
(Ь)
Apply Newton-Raphson method to estimate the r-coordinate of the inter-
section point C with the interval that found in part (a). Continue the
iterations until two successive approximations differ by less than 0.05.
Transcribed Image Text:The curve y = 4r+2r+7a2- 26x +e -4 intersects the r-axis at three points as shown in Figure 1. A В C Figure 1: Graph of y (a) Apply Intermediate Value Theorem to find the smallest interval (a, b) that contains the r-coordinate of the intersection point C, where a and b are integers. (Ь) Apply Newton-Raphson method to estimate the r-coordinate of the inter- section point C with the interval that found in part (a). Continue the iterations until two successive approximations differ by less than 0.05.
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