Parametric Calculus Surface Area Part 2 Youtube In this video i go over part 2 of the surface area for parametric curves video series, and this time continue on further from part 1 and extend the surface f. In this video we derive the formula to compute surface area given some surface described parametrically. thus if you have a parametric description, all you n.
Surface Area Formula Derivation For Parametric Surfaces And Implicit In part ii we investigate how the formula might work for revolving around the y axis, unlike the x axis of part i.this video is part of a calculus ii course. Section 9.5 : surface area with parametric equations. in this final section of looking at calculus applications with parametric equations we will take a look at determining the surface area of a region obtained by rotating a parametric curve about the x x or y y axis. we will rotate the parametric curve given by, x = f (t) y =g(t) α ≤ t ≤. In this section we will find a formula for determining the area under a parametric curve given by the parametric equations, x = f (t) y = g(t) x = f (t) y = g (t) we will also need to further add in the assumption that the curve is traced out exactly once as t t increases from α α to β β. Problem #1 – find the parametric equations for the surface f (x, y) = 9 – x 2 – y 2. one way to parameterize the surface is to take x and y as parameters and writing the parametric equation as x = x, y = y, and z = f (x, y) such that the parameterizations for this paraboloid is: x = x, y = y, z = f (x, y) = 9 − x 2 − y 2, (x, y) ∈ r 2.
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