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Question 4 The inverse tan can be calculated using the integral n = ²(x)=√√₁²² tan -dz 01+2² a Use Trapezoid method to compute tan1(2), by evaluating the integral using four equal subintervals (i.e. h=0.5) b. Use the Bombers method to actimota (2)

Question 4 The inverse tan can be calculated using the integral n = ²(x)=√√₁²² tan -dz 01+2² a Use Trapezoid method to compute tan1(2), by evaluating the integral using four equal subintervals (i.e. h=0.5) b. Use the Bombers method to actimota (2)

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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Question 4 The inverse tan can be calculated using the integral tan-¹(x) = = Question 5 1 0 1+2² -dz alue is I a. Use Trapezoid method to compute tan1(2), by evaluating the integral using four equal subintervals (i.e. -0.5) b. Use the Romberg method to estimate tan ¹(2), by evaluating the integral above. Stop at R(2,2) and estimate the absolute error of the answer assuming the true value is tan¹(2)= 1.1071 rad.
Transcribed Image Text:Question 4 The inverse tan can be calculated using the integral tan-¹(x) = = Question 5 1 0 1+2² -dz alue is I a. Use Trapezoid method to compute tan1(2), by evaluating the integral using four equal subintervals (i.e. -0.5) b. Use the Romberg method to estimate tan ¹(2), by evaluating the integral above. Stop at R(2,2) and estimate the absolute error of the answer assuming the true value is tan¹(2)= 1.1071 rad.
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