Quantitative Methods Answers

Using the starting value 2(1 + i ), solve
x4 − 5x3 + 20x2 − 40x + 60 = 0 by Newton-Raphson method, given that all the roots of the given equation are complex.

Usin the method of false position. Find the root of equation x^6 - x^4 - x^3 - 1 = 0

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

2x^4+13x^3+29x^2+27x+9=0

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

e^x+x=4

find the roots using simple fixed point. 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 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