Question: Calculus III Sample Midterm 1 - Page 3 of 7 2. (a) (7 points) Recall that the cylindrical coordinates are (r, 0, 2) and that

Calculus III Sample Midterm 1 - Page 3 of 7 2.
(a) (7 points) Recall that the cylindrical coordinates are (r, 0, 2)

Calculus III Sample Midterm 1 - Page 3 of 7 2. (a) (7 points) Recall that the cylindrical coordinates are (r, 0, 2) and that the spherical coor- dinates are (p, 0, $). Consider the surface S in 3D with equation in cylindrical coordinates 2 = r. Write an equation of S in spherical coordinates. (b) (7 points) Describe the surface 7 in 3D with equation in cartesian coordinates a? +y' + 22 - 4x - 4y = 114. (c) (6 points) Do S and T intersect? Motivate your

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