The figure shows that graph of p(x) = x* – 7x³ – 9. Use the intermediate value theorem to prove that p has at least 2 real roots. Use the interval-bisection method to locate both roots in intervals of width no more that 0.1. [Use a computer to evaluate p(x), e.g. in the Wolfram alpha web portal you can enter “x* – 7.x³ – 9 where x = 3" to find that p(3) = – 117.]
The figure shows that graph of p(x) = x* – 7x³ – 9. Use the intermediate value theorem to prove that p has at least 2 real roots. Use the interval-bisection method to locate both roots in intervals of width no more that 0.1. [Use a computer to evaluate p(x), e.g. in the Wolfram alpha web portal you can enter “x* – 7.x³ – 9 where x = 3" to find that p(3) = – 117.]
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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![(1) The figure shows that graph of p(x) =x – 7x3 – 9. Use the intermediate value theorem to prove
that p has at least 2 real roots.
Use the interval-bisection method to locate both roots in intervals of width no more that 0.1.
[Use a computer to evaluate p(x), e.g. in the Wolfram alpha web portal you can enter “x* – 7x3 –
9 where x = 3" to find that p(3) = – 117.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F170d0681-c107-40c6-a2d1-8ddd46282e8d%2F5b562228-a3fc-4c80-bb62-b593b20efb1d%2F8hbkp5_processed.png&w=3840&q=75)
Transcribed Image Text:(1) The figure shows that graph of p(x) =x – 7x3 – 9. Use the intermediate value theorem to prove
that p has at least 2 real roots.
Use the interval-bisection method to locate both roots in intervals of width no more that 0.1.
[Use a computer to evaluate p(x), e.g. in the Wolfram alpha web portal you can enter “x* – 7x3 –
9 where x = 3" to find that p(3) = – 117.]
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