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Please sir Please redirect the question to the Chemistry Department as there seems to be a technical glitch here.
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- 2 -2 Let A = 1 2 1 Calculate A-1 by -1 = ; 1 (-A² + 3A+ I). and verify your result by showing that AA-1 = A-'A = I.Determine a and b such that p(x) = x² + ax + b satisfies p(1) = 0 and p'(1) = 9. (Give an exact answer. Use symbolic notation and fractions where needed.) a = b =What is the ground-state electron configuration of Pu (atomic number 94)? [Rn] 7s² 5f5 [Rn] 7s² 56 610 [Rn] 7s² 6d [Rn] 7s² 5f [Rn] 7s² 6010 5/
- Question 11 Give the form of a particular solution of a) Oz-Are +Be+Cx com(3x) +Dxsm(3x) +8 b) Oz-A³+B+Cx cos(31)+Dx(31)+Z c) Oz-Are+Be+Cx cos(3x)+Dxtim(3x) +8 d) Oz-Are+Be+cos3x) + sin(3x) e) Oz-Are+Be+Ccos(3x) +Drin(3x) +8 DO None of the above. Question 12 Give the form of a particular solution of given that r = 11 is a root of the characteristic equation. a) Oz-Ar+Becor) + Cxsin(x) +D b) Oz-Ae+cos(2x) + Cen(2x) +D e) Oz-Are+Brcos(x) + Cran(x) +D d) -4+¹+Bxcox) + Oxan(x) +D e) O-4²+Bos(2x)+Cin(2x) +D None of the above. -817-2e3+3²+cos3x) +2 -67 +10y-6y +9y-2e+sin(2x)+118. Evaluate fe³x cos 8x dx e3x a. [8sin 8x 3 cos 8x] + C 3x b. [8sin 8x + 3 cos 8x] + C 73 C. d. [8e³xsin 8x + 3 cos 8x] + C e3x -[sin 8x + cos 8x] + C1. Show that p² - a? L[x cos ax] = (p² +a²)²' and use this result to find 1 (p² +a²)²_
- Find the solution of x²y" + 5xy' +(4+4x)y=0, x > 0 of the form n = 1, 2, 3, ... where co= 1. Enter = gi = ܐ . . ܗSolve exact equaion X oy [ye² ²² + 1] = xy Reducible to exact ② [4-1]dx + 2*dy=o ③ (2xy ²- since)) 6x + (2+2x²y) dy = 0A homogeneous linear ODE with constant coefficientshas a characteristic equation having only the three roots λ = 1 ± i, 3, where λ = 3has a multiplicity of 2. What is the order of the ODE?