a. State without proof i. Rolle's theorem ii. Intermediate value theorem iii. Mean value theorem

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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a. State without proof
i. Rolle's theorem
ii. Intermediate value theorem
ii. Mean value theorem
b. Let fbe a function defined as f(x) = x³ + 2x – 4. Prove that f has a
unique root in [1, 2]-
c. Approximate that root offabove to 10* accuracy using Newton's
method.
si
Transcribed Image Text:a. State without proof i. Rolle's theorem ii. Intermediate value theorem ii. Mean value theorem b. Let fbe a function defined as f(x) = x³ + 2x – 4. Prove that f has a unique root in [1, 2]- c. Approximate that root offabove to 10* accuracy using Newton's method. si
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