Apply five decima1 place rounding in all calculations. The questions that follow are based on the function f (x) = x³ – 2x 5. a) Show, using the Intermediate Value Theorem, that f has a on the interval [1,4].

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Apply five decima1
place rounding in all
calculations.
The questions that
follow are based on
the function
3
f (x) = x³ – 2x – 5.
-
a) Show, using the
Intermediate Value
Theorem, that f has a
on the interval
[1,4].
Transcribed Image Text:Apply five decima1 place rounding in all calculations. The questions that follow are based on the function 3 f (x) = x³ – 2x – 5. - a) Show, using the Intermediate Value Theorem, that f has a on the interval [1,4].
b) Find the
approximate value of
this zero by applying
five iterations of the
False Position method.
Take
x1 = 1 and x2 = 4.
Tabulate your results
like in the examples
in the class notes.
Transcribed Image Text:b) Find the approximate value of this zero by applying five iterations of the False Position method. Take x1 = 1 and x2 = 4. Tabulate your results like in the examples in the class notes.
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