1. Consider the region R between the two circles described by x² + y² = 1₁ (x − ²) ². + ² = 1 4 (a) Draw this region, shading the area of interest. (b) Describe the region in polar coordinates. (c) Consider the upper cone given by z = √x² + y². Find the surface area of the cone over the region of interest. (d) Find the surface area of the cone-pair given by z² = x²/2 + y²/2 over the region given by x² + y² ≤ 1.

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