f(x)=tan(x)-sin(x)-2.75=0 where x is in radian. Calculate f(x) at .5 and 1.5, and show that a root exists between those two points. Next provide a guess for this root. Do three iterations of Newton-Raphson method and Secant Rule. Calculate the approximate relative error at the end of each iteration and compare which one if more accurate.

f(x)=tan(x)-sin(x)-2.75=0 where x is in radian. Calculate f(x) at .5 and 1.5, and show that a root exists between those two points. Next provide a guess for this root. Do three iterations of Newton-Raphson method and Secant Rule. Calculate the approximate relative error at the end of each iteration and compare which one if more accurate.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.5: Differentials: Linear Approximation

Problem 11E

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