Can you solve the two questions? Parametrize, including bounds, the cylinder 4x2 + x2 = 16...
Parametrize, including bounds, the quartersphere portion of the surface of Q from problem [10] (Hint: Use o and 8 as your parameters). Evaluate the integral /ez dV where is the quarter of the unit sphere inside 2.2 + y2 + 2 = 1, with 0 < x < 1 and 0 <=<1.
4. Find the maximum and minimum values of f(x, y) = 4x2 + 10y2 on the disk x2 + y2 < 4.
Let D be the solid spherical "cap" given by x2 + y2 + z2 < 16 and 2 > 1. Set up, but do not evaluate, a triple integral representing the volume of D in cylindrical coordinates.
14. Let S be the cylinder {(x, y, z)| x2 +22 = 25,0 SY <2}. Orient S by the outward pointing normal n = (x/5,0,2/5). Evaluate Fds, where F(x, y, z) = (x – 2, y, x + 2). Hint: The area of a cylinder of radius r and height h is 2nrh.
evaluate JJ. (< –Y) A. ) Integrate f(x, y, z) = x2 + y2 + 22 over the cylinder x2 + y2 < 2,-2 <2<3 (IL dx dy dz Feraluate
Help with my homework question please. 11. Calculate the surface integral, (16** +°)e="ds, where S is the cylinder x² + y2 = 9 for 0 <<1.
Use cylindrical coordinates to calculate : x2 + y2 dVW : x² + y2 < 64, 05234 SS/(x2 + y2)dV =
Question 1 1 pts Let F= (2,0, y) and let S be the oriented surface parameterized by G(u, v) = (u? – v, u, v2) for 0 <u < 12, -1 <u< 4. Calculate | [F. ds. (enter an integer) Question 2 1 pts Calculate (F.ds for the oriented surface F=(y,z,«), plane 6x – 7y+z=1,0 < x <1,0 Sysi, with an upward pointing normal. (enter an integer) Question 3 1 pts Calc F. ds for the oriented surface F =...
Evaluate // e-(x+vº)dA where D = {(x,y): x2 + y2 <1,1 20, y 2 0}.
5.Use polar coordinates system to evaluate: x2 + y2)dydx , R is the region enclosed by 0 <x< 1 and, -x sy sx