Consider the folowing tableThe second derivative f''(0)is estimated using:(a) Using 3pt-CFD.(b) Using 3pt-BFD.(c) Using 3pt-FFD.Which result is third order? Circle the right answera. None of themb.(b)c.(a)d.(c)Consider the ODE y'=xy+1y(0)=2Estimate the solution y(x)atx=0.4y(0.4) using Euler explicit with anaccuracy of0.2. tick the right (or very close) answera.,y(0.4)~~2.210b.y(0.4)~~5.2c.y(0.4)~~2.488d.y(0.4)~~-3.36We need to solve numerically using Euler implicit the equationy'=y-xy+1y(0)=3for xin[0,6] with N=31po intsFind h then calculate the estimates y2. tick the right (or very close) answera.y2=-4.68c.y2=4.56b.y2=3d.y2=3.809The firstt derivative f'(0.9)of the function f(x)=ex2is estimated using(a)2ptFFD with a given h(b)2pt-CFD with 10hWhat is the value ofhto get the same accuracy? Circle the right answer.a.1.610-3c.10b.10-2d.Noh can make both accuracies equalWe need to solve numerically using Euler explicit the equationy'=y2-xy+1y(0)=3for xin[0,6] with h=0.2Calculate the estimates y2. circle the right (or very close) answera.y2=8.25c.y2=1.54b.y2=5d.y2=10