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2. The square root key on your calculator has broken! And your friend wants to charge you $1500 to use her calculator. Suppose you really need to know √4.2 with an accuracy of 0.0001. (a) Find a Taylor Polynomial for √ which will ensure the desired accuracy for x = 4.2. Hint: where will you center this polynomial? (b) Use your Taylor Polynomial from (a) to approximate the value of √4.2. Give at least 6 decimal places in your answer.

2. The square root key on your calculator has broken! And your friend wants to charge you $1500 to use her calculator. Suppose you really need to know √4.2 with an accuracy of 0.0001. (a) Find a Taylor Polynomial for √ which will ensure the desired accuracy for x = 4.2. Hint: where will you center this polynomial? (b) Use your Taylor Polynomial from (a) to approximate the value of √4.2. Give at least 6 decimal places in your answer.

Advanced Engineering Mathematics
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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2. The square root key on your calculator has broken! And your friend wants to charge you $1500 to use her calculator. Suppose you really need to know √4.2 with an accuracy of 0.0001. (a) Find a Taylor Polynomial for √ which will ensure the desired accuracy for x = 4.2. Hint: where will you center this polynomial? (b) Use your Taylor Polynomial from (a) to approximate the value of √4.2. Give at least 6 decimal places in your answer.
Transcribed Image Text:2. The square root key on your calculator has broken! And your friend wants to charge you $1500 to use her calculator. Suppose you really need to know √4.2 with an accuracy of 0.0001. (a) Find a Taylor Polynomial for √ which will ensure the desired accuracy for x = 4.2. Hint: where will you center this polynomial? (b) Use your Taylor Polynomial from (a) to approximate the value of √4.2. Give at least 6 decimal places in your answer.
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