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Advanced Mathematics Assignment

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Added on  2021-06-16

Advanced Mathematics Assignment

   Added on 2021-06-16

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Running head: ADVANCED MATHEMATICSAdvanced MathematicsName of the Student:Name of the University:Author Note
Advanced Mathematics Assignment_1
1ADVANCED MATHEMATICSAnswer to question number 1Given function:a)At first Z0 is to be calculated at (pi/3,2)Z0 = Z(pi/3,2) = 6b)Now partial derivatives are:
Advanced Mathematics Assignment_2
2ADVANCED MATHEMATICSd/dx = -6.737 = -7 (approx)d/dy= -2.727 = -3 (approx)Therefore, the equation of the plane is z = 6 – 7 (x-pi/3) - 3 (y-2) or z = 6-7(x-1) – 3(y-2) (approx.)Or, z = -7x -3y + 6 + 7 + 6 Or, z + 7x + 3y -19 = 0The total Differential at point P is = -7dx -3dy.Answer to question number 2The given function is z(x,y) = (e^5(y+1))(4(x^2)-16x+5y+5)The critical points of the function is (2,2)It is the local minimum of the function. There are no local maxima and thereis no saddle point.Answer to question number 3a)The given function is V = double integral of xy^2 dxdyThe polar coordinates = double integral of (r cos θ) (r sin θ) ^2 r drdθ
Advanced Mathematics Assignment_3
3ADVANCED MATHEMATICSx = r cos θy = r sin θb)
Advanced Mathematics Assignment_4

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