> 0 Find the volume inside the cyliner 2 +24 under the surface 7 z y4...
9) Find the flux of the field =< 3x, -y, -z > through the surface of the box in the first octant bounded by the coordinate axis and the planes x = 1, y = 2, z = 3
4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane. 4. (14 points) Using polar coordinates, set up, but DO NOT EVALUATE, a double integral to find the volume of the solid region inside the cylinder x2 +(y-1)2-1 bounded above by the surface z=e-/-/ and bounded below by the xy-plane.
Use cylindrical coordinates to find the volume V of the solid G inside the surface 2 + z = 90 but not above the surface 2 = 12. Enter the exact answer V = ? Edit Click if you would like to Show Work for this question: Open Show Work
urface z and between z O and 13-Find the volume of the region inside the surface z-72 2 and between z = 0 and z 10 urface z and between z O and 13-Find the volume of the region inside the surface z-72 2 and between z = 0 and z 10
show all work thank you 4) (5pts) the region under the surface z x2+ y4, and bounded by the planes x-0 and y-9 4 2 and the cylinder y x 4) (5pts) the region under the surface z x2+ y4, and bounded by the planes x-0 and y-9 4 2 and the cylinder y x
5b) Find the volume of the solid under the surface f(x, y) = 2et'ty and above the semi-circle x + y = 9, y < 0.
([8]) Find the point on the surface z = x2 + 2y2 where the tangent plane is orthogonal to the line connecting the points (3,0,1) and (1,4,0). Useful formula: The curvature of the plane curve y = f(x) is given by k(x) = \f"|(1 + f/2)-3/2, ([9]) Use spherical coordinates to find the volume of the solid situated below x2 + y2 + 2 = 1 and above z= V x2 + y2 and lying in the first octant.
Problem 6 [5 points] |(y ( y-dan- 0.708 Set up an equation with a double Integral in polar coordinates to find a such that the volume inside the hemisphere z 16-x-yi and outside the cylinder x2 + y2 = a 2 is one-half the volume of the hemisphere. Do not solve it. Problem 6 [5 points] |(y ( y-dan- 0.708 Set up an equation with a double Integral in polar coordinates to find a such that the volume inside the...
Find the volume of the region under the surface z = xy2 and above the area bounded by x = y2 and x – 2y = 8 Round the answer to the nearest whole number.
Find the volume of the region under the surface z = 80 and above the triangle in the xy-plane with corners (0,0). (4,0) and (0,2). Round your answer to one decimal place. Preview