# Question: 1 determine the differential area elements on the following surfaces...

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1. Determine the differential area elements on the following surfaces. In each case, sketch the coordinate system and the area element.

a. on a surface of constant x in rectangular coordinates.

b. on a surface of constant z in cylindrical coordinates.

c. on a surface of constant r in cylindrical coordinates

d. on a surface of constant θ in cylindrical coordinates.

e. on a surface of constant r in spherical coordinates.

f. on a surface of constant θ in spherical coordinates