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1. SET UP BUT DO NOT EVALUATE the arc length integral which computes the circumference of the ellipsoid x^2 / r^2 + y^2 / r^2

1. SET UP BUT DO NOT EVALUATE the arc length integral which computes the circumference of the ellipsoid x^2 / r^2 + y^2 / r^2 + z^2 / r^2 = 1 for a fixed value of z.

2. Suppose f (x, y) = x ln(xy). (a) Compute the equation of the tangent plane to the function f (x, y) at (1, e, e). (b) Use what you found above to approximate f (1.01, e + 0.01)

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