Find an equation for the surface.
The plane z = 13 in spherical coordinates.
Find an equation for the surface. The plane z = 13 in spherical coordinates.
Use spherical coordinates. Find the centroid of the solid E that is bounded by the xz-plane and the hemispheres y = V 1-x2-z2 and y (x, y, z) V4-x2-
Use spherical coordinates. Find the centroid of the solid E that is bounded by the xz-plane and the hemispheres y = V 1-x2-z2 and y (x, y, z) V4-x2-
([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.
Ex: Use Spherical Coordinates to find the mass of the solid bounded -by z /x²y3 and the plane Z=2, where s= R(x² + y² + 2?)
Find the equation of the tangent plane to the surface at the given point a. z = x2 + y2 + 2 (1,3,12)
ya at the Find the equation for the tangent plane to the surface z = point P (1,-1,1). 2
Find an equation of the tangent plane to the given surface at the specified point. z = ln(x − 6y), (7, 1, 0)
10. [-/1 Points] DETAILS LARCALC11 13.R.069. Find an equation of the tangent plane to the surface at the given point. z = x2 + y2 + 2, (1, 3, 12)
Find an equation of the plane tangent to the following surface at the given points. z = 4 cos (x - y) + 2; л л 3 3 ,0 and 6.6
Question 2 Find an equation in spherical coordinates for the equation given in rectangular coordinates. y = 2 Op = 2cosø cose p=2seco.sece 0 p=2 sind sine Op=2seco csel Op=2csc@csc
Find the equation of the tangent plane to the surface z=e4x/17ln(2y) at the point (4,3,4.59227)