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1. Here's a picture of the parametric surface r(u. ) = (u cos v. usin v, uv) for 0 Here'S Picture of the pararpetri coy

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1. Here's a picture of the parametric surface r(u. ") = (u cos v. usin v, uv) for 0

Here'S Picture of the pararpetri\ coy siriv/Ov)f for O S 12,0 v with a sketch of 15tt14 77/2 1377/4 11#/4 57/2 97/4 37/2 Sit /4 37/4 6 8 10 12 The blue pieco in the surface corresponds to the blue piece in the parameter domain. of the following is the best estimate for the area of the blue piece Of the surface? Explain your reasoning. 10 40 70 1.5 Hint: You don't need to do any integrating here; instead, think about how '.ve came up with the surface area formula for dS. To save you some computation, here's Fu x Fv: x Ft, = (u sin v uv cos v, ursin v u ccxs v, u) . Here'S Picture of the pararpetri\ coy siriv/Ov)f for O S 12,0 v with a sketch of 15tt14 77/2 1377/4 11#/4 57/2 97/4 37/2 Sit /4 37/4 6 8 10 12 The blue pieco in the surface corresponds to the blue piece in the parameter domain. of the following is the best estimate for the area of the blue piece Of the surface? Explain your reasoning. 10 40 70 1.5 Hint: You don't need to do any integrating here; instead, think about how '.ve came up with the surface area formula for dS. To save you some computation, here's Fu x Fv: x Ft, = (u sin v uv cos v, ursin v u ccxs v, u) .

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