Quantitative Methods Answers

find the roots using newton raphson. Stop until at 15th iteration or when approximate percent relative error is below 0.05%.


3x^4-8x^3-37x^2+2x+40

find the roots using newton raphson. Stop until at 15th iteration or when approximate percent relative error is below 0.05%.


e^x+x=4

Find a value for n to ensure that the absolute error in approximating the integral

∫_0^2▒〖x cos⁡〖x dx〗 〗by the midpoint rule will be less than 10^-3

Use n=6 subdivision to approximate the value of

∫_0^6▒√(x+2) dx by the trapezoidal rule

Find the root of the equation tanx + tanhx = 0 which lies in the interval (1.6, 3.0) correct to four significant digits using the method of false position.

find the roots using newton rhapson. Stop until at 15th iteration or when approximate percent relative error is below 0.05%.


2x^5+x^4-2x-1=0

find the roots using simple fixed point iteration. Stop until at 15th iteration or when approximate percent relative error is below 0.05%.


3x^4-8x^3-37x^2+2x+40

find the roots using simple fixed point iteration. Stop until at 15th iteration or when approximate percent relative error is below 0.05%.


e^x+x=4

find the smallest positive in which lies the following tanx+tanhx=0