Engineering Calculus Notes 324

Engineering Calculus Notes 324 - 312 CHAPTER 3. REAL-VALUED...

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Unformatted text preview: 312 CHAPTER 3. REAL-VALUED FUNCTIONS: DIFFERENTIATION Next, we consider the torus with outer radius a = 2 and inner radius b = 1 parametrized by → → − (α, β ) = (2 + cos β )[(cos α)− + (sin α)− ] + (sin β )− → → p ı k at P √ √ 535 3 ,, 442 which corresponds to π 6 π β= 3 α= (seeFigure 3.21). → − N Figure 3.21: Tangent Plane to Torus at √ √ 535 3 4 , 4, 2 ...
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