Question: a) Prove that if E is a Jordan region whose topological boundary is a piecewise smooth curve oriented in the counterclockwise direction, then b) Find

a) Prove that if E is a Jordan region whose topological boundary is a piecewise smooth curve oriented in the counterclockwise direction, then
A) Prove that if E is a Jordan region whose

b) Find the area enclosed by the loop in the Folium of Descartes; that is, by

A) Prove that if E is a Jordan region whose

c) Find an analogue of part a) for the volume of a Jordan region E in R3.
d) Compute the volume of the torus with radii a > b (see Example 13.32).

Area (E)dy y dx. 31 312 (t) =

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