Choose n such that the composite Simpsons rule approximates

Choose n such that the composite Simpson\'s rule approximates I(f) = integral_1^3 x/1 + x dx with error |I S_n (f)| lessthaorequalto 10^4.

Solution

be aware that loads of students write the quadratic formulation as

frac-bpmsqrtb^2-4ac2a

however this isn\'t the quadratic system! well, it\'s not the entire tale. numerous critical stuff is missing — the bits which help you to understand it and follow it. We want to have all of the following while writing the quadratic formulation:

the solution for the quadratic equation

ax2 + bx + c = zero

is given via

x=frac-bpmsqrtb^2-4ac2a

numerous students leave out out the \"x =\" and haven\'t any idea what the components is doing for them. additionally, if you pass over out the subsequent bit, you may not recognize how and when to apply the system:

ax2 + bx + c = 0

studying the overall state of affairs (the complete formula and its conditions) is vital for expertise.