4. Find ()(2) if f(z) = =+ 2 and g(x) = x2 +4x + 4. %3D

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: I=∫dxx9x2+49x2+4=t9x  dx9x2+4=dtdx=9x2+49x dtI=∫19x2 duI=∫1u2-4 duI=∫1(u-2)(u+2)…

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Q: (1) In(x - y) = xy + y³ ;

A: According to rules, I need to solve first question.. Please repost remaining questions

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Q: A x² B --x-In Ix+11+ C x² 2 -x+ In lx+11+ C 5x²=² dx x+1 C x² D x² +x-In Ix+11+ C +x+ In lx+11+ C

A: The given integral,              ∫x2-2x+1dx

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A: Consider the given equation:

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A: Dear student,                    According to our guidelines we can answer only first question or…

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Q: 2 Find / U(x) + 4g(x)]dx if -5 2 2 | f(x)dx = 6 and / g(x)dx = -3. -5 -5 2 [f(x) + 4g(x)]dx = i %3|…

A: Given∫-52f(x)dx=6∫-52g(x)dx=-3

Q: minimize F=x^2+y^2 subject to xy^2=16.

A: Let F=x2+y2 and G=xy2-16=0...(1) Let λ be the Lagrange's multiplier. Then Fx=λGx and Fy=λGy⇒2x=λy2…

Q: The critical point(s) of the function z= 2x²-4xy-2y²+3x-7y+6 is/are...

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Q: 7 If f(x, y) = (3x³ + 2y² – 30)', then fy is - given by :

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