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Calc III Ch14 Notes_Part15

# Calc III Ch14 Notes_Part15 - 14.5 — Surface Area Here’s...

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Unformatted text preview: 14.5 — Surface Area Here’s the concept behind ﬁnding the surface area of a surface above the region, R, in the- xy-plane. Above a “inﬁnitely small” rectangle in the region, look at the TM' PM‘A/E to the curve, this will be a ﬁg M1; Mm . Recall from earlier that the Arm- ,y, rc/W of the 6/31/55 — f/‘ﬁgJy-{T' of 2 vectors will ﬁnd the area of a parallelogram. Ultimately this resythe following formula (which thankfully is similar to the one S if ”(793 +69; "4% NOTE: Just like in Gale 1, this can often be a real challenge to integrate. On tests/quizzes, at LEAST set up the integral properly. Ex: Find the surface area of the paraboloid_z = x2 + )22 that lies under the plane 2 = 9.F_, ...
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