5. (a) Rewrite ta+ using Euler's Formula. (b) Construct an example of a Cauchy-Euler equation whose characteristic equation has non- real roots. (c) Solve the equation you constructed in part (b) and use the formula from part (a) to rewrite the solution in terms of real valued functions.

solve the equation 1/2(f+)-1/3=5/3

Solve (a) and (f) please

Solve (2i - 3j) • [ (i + j - k) x (3i - k) ]

03:A: Estimate the roots of the function f(x) = x² + x-3. by using Newton's method. B: Use the Newton-Raphson method of finding roots of | f(x) = 3x³ - 1.

3

Example 2.9. Solve : (i) 6xx5 - 41x + 97x³ - 97x2 + 41x – 6 = 0 (Coir (ii) 6x6 - 25xo + 31x - 31x² + 25x – 6 = 0.

If ø (a) and øb) are of opposite signs and the real root of the equation ø (x) = 0 is found by false position method, the first approximation x1, of the root is ... ab +(a) Þ(½) $(a)-o(b) A a (b)-b ¢(a} +(b)-$(a) B a ¢(b)+b ¢La) (b)++(a) a o'(b)+b ¢'f«) $(b)+ ¢(a) D

Solve thoroughly

13) Solve the equation for x: (x – 3)? = 16