computer science

ASSIGNMENT# $02$

Question # $01$

$12!$

The following polynomial can be used to relate the zero$-$pressure specific beat of dry air, $Cp,k\frac{J}{kgK},$ to temperature, $(K)=$

$C_p=0\mathrm{.}99403+1\mathrm{.}671{10}^{-4}T+9\mathrm{.}7215{10}^{-8}{T}^2-9\mathrm{.}5838{10}^{-11}{T}^3+1\mathrm{.}9520{10}^{-14}{T}^4$

Apply Secant method to determine the temperature that comesponds to the specific heat of $1\mathrm{.}1(Cp)k\frac{J}{kgK}$ using the temperature range of $T=0$ to $\frac{?}{200K}$ up to the tolerance of $1{10}^{-4}$ using $5$ decimal places.

Question # $02$

$1$

An oscillating current is described by $I=9e^{-}$Sin$(2t),$ where $t$ is in seconds. Apply Newton$-$ Raphson method to determine the value of $t$ such that $l=3\mathrm{.}5,$ starting with the initial value of time, $t,$ as $\frac{?}{sec}.$ Solve till five iterations using $5$ decimal places.

Question # $03$

$111$

A Plant Manager supervises the production of three types of eomponents. Three kinds of material $-$ metal, plastic, and rubber $-$ are required for production. The amounts needed to produce each component are

$\backslash$table$[[$Component$,\backslash$table$[[$Metal$],[$component$)]],\backslash$table$[[$Plastic$],[$component$)]],\backslash$table$[[$Rubber$],[$component$)]]],[$A$,15,0\mathrm{.}25,1\mathrm{.}0],[$B$,17,0\mathrm{.}33,1\mathrm{.}2],[$C$,19,0\mathrm{.}42,1\mathrm{.}6]]$

If totals of $2\mathrm{.}12,0\mathrm{.}0434,$ and $0\mathrm{.}164kg$ of metal, plastic, and rubber, respectively, are availablecach day, Apply Gauss$-$Seidel method to evaluate how many components can be produced per day? Solve for $7$ Iterations

Question # $04$

The following system of equations are indicating market equilibrium condition for three competing mobile phone models of different manufacturers.

${44}_{p1}-4_{p2}-4_{p3}=124$

$4_{p1}-{24}_{p2}+8_{p3}=-104$

$4p1+8_{p2}-{28}_{p3}=-96$

Apply Gauss$-$Jordan Methed, whether there are prices $(p_2,p_2$ and $p_3)$ that satisfies the equilibrium condition for each of the three mobile phone models matlab code for quadtric equations root $.$