Lab_5_Interpolation_and_RootFinding

School

University of Texas, Rio Grande Valley *

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Course

2350

Subject

Civil Engineering

Date

Apr 3, 2024

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Pages

Uploaded by suckmyassbuddy

""" **CIVE 2350: Numerical Methods for Civil Engineers** **Lab 5: Interpolation and Root Finding** """ #%% # Add imports here # %% x = [0, 1, 3, 4, 10] y = [2, 6, 4, 8, 3] def task_1(): """ Create a linear interpolation and reurn its value at x=2.5 """ pass task_1() # %% def task_2(): """ Create a cubic spline interpolation and reurn its value at x=2.5 """ pass task_2() # %% def task_3(): """ Create a lagrangian interpolation and reurn its value at x=2.5 """ pass task_3() # %% def task_4(): """ Plot the linear, cubic spline, and lagrangian polynomial interpolations in one plot """ pass task_4() # %% f = lambda x: 2*x**2 -10 df = lambda x: 4*x def task_5():

""" Write a function to get the roots of f using the bisection method """ pass task_5() # %% def task_6(): """ Write a function to get the roots of f using the bisection method """ pass task_6() # %% def task_7(): """ return the root using scipy.optimize.root and confirm your answers in the previous two tasls """ pass task_7()

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I need detailed help solving this exercise from homework of Engineering Mathematics II.I do not really understand how to do, please do it step by step, not that long but clear. Thank you!P.S.: Please do not use AI, thanks!

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