Question: Sir, i am stuck on this question only need an answer no need of an explanation ( 2 marks ) Let h : IR2 ->
Sir, i am stuck on this question only need an answer no need of an explanation


( 2 marks ) Let h : IR2 -> IR be defined by h(x,y) = 12+ 5xy + 2y2 -14x-52y -15 . The coordinates of the point on the surface z = h(x, y) where the tangent plane is parallel to the ry- plane are (A, B, C) where A = Number B = Number and C= Number(3 marks) Consider the indefinite integral I(2) = V4 - 81 de . Use the substitution u = v4 - 8x to transform the above integral to I(2) = f(2) du where the rational function f(u) = Using partial fraction decomposition we get the integral in terms of u to be I(u) = 2In g(u)| + h(u) + C where O is the constant of integration and the rational function g (u) = and the polynomial h (u) =
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