To find the least square polynomial approximation of degrees 2 to the function f(z) = on the interval [1, 3] we must solve the system O a. 2 ao +6 a, + 18.6667 az 0.693147, 6 ao +18.6667 a, +60 a, =2, 18.6667 ao +60 a,+ 198.4 a 6. O b. 3 ao +8 a, 12.6667 a 1.0986, 8 ag +12.6667 a, +40 a 2, 12.6667 ao t 40 a+ 78.6 az 3. Oc. ao +1.5 a,+2.3333 az 0.693147, 1.5 a +2.3333 a, +3.75 a -1, 2.3333 ao+3.75 a+6.2 a 1.5. d. 2 a +4 a+ 8.6667 a 1.0986 4 8.6667 a +20 a2, 86667 as20 a 48,4 a4.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.