MATH 2850 Final: MATH 2850 Iowa Final
Document Summary
Sketch the domain of integration of the following integral and express it in spherical coordinates as an iterated integral with bounds. Give a parametrization of the line segment c from the 1, 0, 0 to 1, 3, 4 : calculate the line integral c. F ds along the curve c of part (a), where. Give a parametrization of the cylinder s described by x2 y2 4 and. Sketch the surface and specify the parametrization domain: find a closed equation ax by cz d for the tangent plane to s at the point. Calculate the divergence of f x, y, z xyzi x cos yj e2zk: prove that f 0, for every twice continuously differentiable function f : r3 r. Let b be the subset of r3, defined by x y 2, z 4 x2 and x 0, y 0, z 0: calculate the volume of b, sketch the region b. If it is, find a: calculate the line integral c.
