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Math · Calculus
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(c) Consider the following function f(x, y,z)-z- x cos(Ty)+-- (i) Find the gradient of the function /(x, y,z) at the point P (2,-1,-7) ii) Find the directional derivative of f(x,y,z) at P (2,-1,-7) along the direction of the vector u- ai +bj+ck where a, b, c are non-zero constants (iii) Find the equation of the tangent plane to the surface given below at the point Po (2,-1,-7) xy (7 marks)

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