Question 3 (4 points). Let's consider the change of variables from Cartesian coordinates to spherical coordinates that i

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Question 3 4 Points Let S Consider The Change Of Variables From Cartesian Coordinates To Spherical Coordinates That I 1 (137.91 KiB) Viewed 29 times

Question 3 (4 points). Let's consider the change of variables from Cartesian coordinates to spherical coordinates that is we consider x = r sin(y) cos(0), y = r sin(y) sin(0), z = r cos(y); : (r, 0,y) → (r sin(y) cos(0), r sin(y) sin(0), r cos(x)) defined on R>0 x R x (0, π). 1. Calculate * (dx), ¢*(dy), and ø* (dz). 2. Determine *(xdx + ydy + zdz) (recall that, for all real number a, cos²(a) + sin² (a) = 1).