Lateral Surface Area In Exercises 65–-72, find the area ofthe lateral surface (see figure) over the curve C in the x y-plane and under the surface
Lateral surface
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Calculus: Early Transcendental Functions (MindTap Course List)
- Check that the point (−1,−1,1) lies on the given surface. Then, viewing the surface as a level surface for a function f(x,y,z) find a vector normal to the surface and an equation for the tangent plane to the surface at (−1,−1,1) x^2−3y^2+z^2=−1arrow_forwardDteermine the equation of the tangent plane to the surface given equation G(u, v) = (2u + v, u - 4v, 3u) at the point where: u = 1 and v = 4. %3Darrow_forwardParameterize the intersection of the cone z = x2 + y2 and the plane z = 2x + 4y + 20. Find the tangent line at the point (4, -2, 20).arrow_forward
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- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage