Question

[Q1] The data below are the electricity consumptions in kilowatt-hours per month from ten houses and the areas in square feet of those houses: Home Size KW Hrs/Mnth 1290 1182 1350 1172 1470 1264 1600 1493 1710 1571 1840 1711 1980 1804 2230 1840 2400 1956 2930 1954 1- Obtain second order polynomial expression for variation of KW Hrs/Mnth with Home size. 2- Calculate the approximate KW Hrs/Mnth for Home size of 1500 3- Draw a plot for raw data and for the polynomial. [Q2] For the following function f(x)=x2 + 2x 1- Obtain the first and the second derivatives for x =3 and h=1 2- Determine the error for each derivative compared with the exact value. [Q3] Analyze the following electrical circuit by finding the currents (11, 12 and 13) using Gauss-elimination method V Vs = 52 R$ 110K,
please can you solve these qustion of numerical analysis

Answer 1

Q. 2 given function, f(x) = n²+2x He find 1st and 2' ist and and derivative by using Newton's forward difference formula Here given that, h=1 And, xit = aith 4 Af(x) = frath) - f(x) of(x) = A CAfcx)) $1 3 s 13 6 Now 14e calculate table, Ko = 3 frao) = 15 Afo=9 fa) = 24 Afo=2 Af = 11 A Foa 122=5 f(22) = 35 Af = 2 Af2 = 13 23 = f (23) = 48 14e have formula, Aford to +²fo da مر 3=ho u=0 2 to .. df da 1 [ 9 - 2 2 = 3 1 [g-1 - 8 Hence ist derivative at a=3 is 8
Ans.