12. Carry out the following interval arithmetic: |-5, 3] · (2, 5] + [–1, 1]/[2, 4]
Advanced Engineering Mathematics
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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![12. Carry out the following interval arithmetic:
|-5, 3) · (2, 5] + [–1, 1)/[2, 4]
13. Prove that the function f(r)
| 2,- 1). Perform the bisection method to find c2, the third approximation to the
location of the root. Determine the number of of iterations needed to find the root
= COS –
3x2 + 2x + 5 has exactly one root in
with an error of at most 10 4.
14. Excrcise 3, page 46.
15. Prove that the function f(x) = x² sin r + 4r – 3 has cxactly one root in 0, 2.
Perform the false position method to find C2. the third approximation to the location
of the root.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F177dbd06-d862-43b1-91ab-c9d3f0e82fd1%2Fee605254-f563-4e54-983a-9909746279d6%2Fjpjvybn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:12. Carry out the following interval arithmetic:
|-5, 3) · (2, 5] + [–1, 1)/[2, 4]
13. Prove that the function f(r)
| 2,- 1). Perform the bisection method to find c2, the third approximation to the
location of the root. Determine the number of of iterations needed to find the root
= COS –
3x2 + 2x + 5 has exactly one root in
with an error of at most 10 4.
14. Excrcise 3, page 46.
15. Prove that the function f(x) = x² sin r + 4r – 3 has cxactly one root in 0, 2.
Perform the false position method to find C2. the third approximation to the location
of the root.
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