Question 1 10 pts Use the zero-through fourth-order expansion to approximate the function: f(x) = -0.1a* – 0.15z – 0.5z? – 0.25z+1.2 Predict the function using Taylor series xi+1=0 at a=1. Complete...

Question 1<br>10 pts<br>Use the zero-through fourth-order expansion to approximate the function:<br>f(x) = -0.1a* – 0.15z – 0.5z? – 0.25z+1.2<br>Predict the function using Taylor series xi+1=0 at a=1. Complete the five-column table<br>showing the number of terms, corresponding term, approximation value, true error, and<br>relative error in the output of the program. All calculated values is displayed up to 5<br>decimal places.<br>N.<br>C. Term<br>A. Value<br>T. Error<br>R. Error<br>Terms<br>0.20000<br>0.20000<br>1<br>83.33333<br>2.1<br>-91.66667<br>2.30000<br>-1.10000<br>0.75000<br>0.45000<br>3<br>-1.55000<br>37.50000<br>0.55000<br>1.30000<br>-0.10000<br>-8.33333<br>-0.10000<br>1.20000<br>0.00000<br>0.00000<br>1.<br>2.<br>

Extracted text: Question 1 10 pts Use the zero-through fourth-order expansion to approximate the function: f(x) = -0.1a* – 0.15z – 0.5z? – 0.25z+1.2 Predict the function using Taylor series xi+1=0 at a=1. Complete the five-column table showing the number of terms, corresponding term, approximation value, true error, and relative error in the output of the program. All calculated values is displayed up to 5 decimal places. N. C. Term A. Value T. Error R. Error Terms 0.20000 0.20000 1 83.33333 2.1 -91.66667 2.30000 -1.10000 0.75000 0.45000 3 -1.55000 37.50000 0.55000 1.30000 -0.10000 -8.33333 -0.10000 1.20000 0.00000 0.00000 1. 2.

Jun 05, 2022

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Question 1 10 pts Use the zero-through fourth-order expansion to approximate the function: f(x) = -0.1a* – 0.15z – 0.5z? – 0.25z+1.2 Predict the function using Taylor series xi+1=0 at a=1. Complete...

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