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Engineering Mathematics Assignment -
Q1. Solve the following pair of equation using determinant method
3x + 2y - z = 4
2x - y + 2z = 10
x - 3y - 4z = 5
Q2. If z = x2 - y2 and x = rcosθ, y = rsinθ, find ∂z/∂r and ∂z/∂r, leaving your answers in terms of θ and r.
Q3. Integrate the following exact differentials
a. dz = (6x2 + 8xy3)dx + (12x2y2 + 12y3)dy
b. dz = (3x2 + 2xy + y2)dx + (x2 + 2xy +3y2)
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