-6 -4 9. The general solution of x' = x is: (w) x - Ce () + C [(-4) +(-)] (3) * = Cye" (:) + C" ( -)+*(:)) (a) x = Ce-2 ( :) + Cze-2 5 + Cze# (c) G) +C2e-a -2t x = C1e-2t +t (d) x = = Cie2t C2 (e) None of the above.

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A: Given: 1-2xuy+ux=0 Auxiliary equation is  dx1=dy1-2x=du0 equating first and last terms…

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A: Given that X~exp(1) then  We have to find 2X follows which distribution:

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Q: 47. If S(2,y)=(2x-3yy', then f,= _ a) -15(2x-3y)" b) –10(2x-3y) c) 15(2x-3y) d) 10(2x-3y)

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A: Given query is to find the derivative of the expression.

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A: Here we will find f(A),

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A: To determine the derivative using chain rule.

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A: Given that:           f(x)=(1-x)2 and g(x)=9-x Find f(g(x)) and g(f(x)).

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A: The solution for the above question is as shown below.

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A: Consider the given information:

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Q: Q2) If f (x) = x + 5 and g(x) = x² – 3, find the following: %3D 1) f(f(x)) 2) g(f(x)) 3) f(g(x)) 4)…

A: Given that: f(x)=x+5          and    g(x)=x2-3

Q: Given f(z) %3D 1-홀 (9+3x) + 을(9+ 3z)2-꿈 (9+3z)3 then f'(a) = 0-을 + 꼴 (9+ 3z) -부 (9 + 3z)2+ 0을-을(9+…

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Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

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Q: f(x) = x²-2x-10, (P¹) (5)

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Q: gA (D-D-6)y(x) = xe Usled a *5x+2) - 1 хе 50 1 y,(8) 50 y,(x) = 50 xe (5x-2) - y,(x)-xe" (5x+2) -i

A: Given