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1a) Find all first and second partial derivatives of f(x,y)=x^4−3x^2y^2+y^4 1b) w=xycosz, x=t, y=t^2, and z=t^3....

1a) Find all first and second partial derivatives of f(x,y)=x^4−3x^2y^2+y^4

1b) w=xycosz, x=t, y=t^2, and z=t^3. Find dw/dt using the appropriate Chain Rule.

1c) Find equation of the tangent plane and find a set of parametric equations for the normal line to the surface z = ye^(2xy) at the point (0, 2, 2).

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