The curve y = x³ + 4x – 3 intersect the x-axis at the point A, where x = a. a- Show that a lies between 0.5 and 1.0. 3-x3 b- Show that the equation x + 4x –- 3 = 0, can be rearranged into the form x = c- Use the iteration xn+1 = 3-x with x1 = 0.5 to fined x3, giving your answer with 4 four decimal places.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Q1: The curve y = x³ + 4x – 3 intersect the x-axis at the point A, where x = a.
a- Show that a lies between 0.5 and 1.0.
b- Show that the equation x + 4x - 3 = 0, can be rearranged into the form x =
3-x³
3-х
c- Use the iteration xn+1 =
with x1
= 0.5 to fined x3, giving your answer with
four decimal places.
Transcribed Image Text:Q1: The curve y = x³ + 4x – 3 intersect the x-axis at the point A, where x = a. a- Show that a lies between 0.5 and 1.0. b- Show that the equation x + 4x - 3 = 0, can be rearranged into the form x = 3-x³ 3-х c- Use the iteration xn+1 = with x1 = 0.5 to fined x3, giving your answer with four decimal places.
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