UseaLagrangeinterpolatingpolynomialofthefirstandsecondordertoevaluatethevalueofyatx$=25$based on the data in the following table; x$1030$ a$)$ b$)$ c$)50$ y $7\mathrm{.}71\mathrm{.}60\mathrm{.}424$Solvebyhandbyusingfirst$-$orderpolynomialandthesecond$-$orderpolynomial Drawtheflowchartexpressingthealgorithmforthesolution. Createanm$-$scriptcontainingafunctionevaluatingthey$-$valuesforthepre$-$definedx$-$valuesbymeansof Lagranges Interpolation Method.i$.$ Write the MATLAB Code $($m$-$script$)$ on the answer sheet.ii$.$ Addexplanation$($comment$)$with$(\%)$foreachlineofMATLABCode$.$iii. Build the m$-$script in MATLAB.iv$.$ Run the m$-$script file and demonstrate the solution as screenshot using the "print screen" button on thekeyboard$\mathrm{.}2.$ Evaluatetheintegral.,takingn$=5$usingSimpsons$1/3$rule.a$)$ EvaluatebyhandusingSimpsonsRule.b$)$ Drawtheflowchartexpressingthealgorithmforthesolution.c$)$ Createanm$-$scriptutilizingSimpsons$1/3$ruletoevaluatethisintegral.i$.$ Write the MATLAB Code $($m$-$script$)$ on the answer sheet.ii$.$ Addexplanation$($comment$)$with$(\%)$foreachlineofMATLABCode$.$iii. Build the m$-$script in MATLAB.iv$.$ Run the m$-$script file and demonstrate the solution as screenshot using the "print screen" buttonkeyboard$\mathrm{.}3.$ Forthefollowingdifferentialequation:on the a$)$b$)$ c$)=5.2$;for$0$t$3,$y$(0)=1\mathrm{.}5$n$=5.$Solvethisdifferentialequationbyusingfourth$-$orderRunge$-$KuttaMethod. Drawtheflowchartofthealgorithmforthesolutionofthissolution. Performthefollowing;i$)$ii$)$ Add explanation $($comment$)$ with $(\%)$ for each line of MATLAB Code.iii$)$ Build the m$-$script in MATLAB.iv$)$ Run the m$-$script file and demonstrate the solution as screenshot using the "print screen" button on thekeyboard$\mathrm{.}3$c$-$iii$10101022101010101,51,555322222$ Good Luck..Write the MATLAB Code $($m$-$script$)$ on the answer sheet. $1$a$1$b$-$i$1$b$-$ii$1$b$-$iii$1$b$-$iv$2$a$2$b$2$c$-$i$2$c$-$ii$2$c$-$iii$2$c$-$iv$3$a$3$