Problem 1E: Let S be the surface of the box enclosed by the planes x=1,y=1,z=1. Approximate Scos(x+2y+3z)dS by... Problem 2E Problem 3E Problem 4E: Suppose that f(x,y,z)=g(x2+y2+z2), where g is a function of one variable such that g(2)=5. Evaluate... Problem 5E: Evaluate the surface integral. S(x+y+z)dS, S is the parallelogram with parametric equations... Problem 6E: Evaluate the surface integral. SxyzdS, S is the cone with parametric equations... Problem 7E Problem 8E: Evaluate the surface integral. S(x2+y2)dS, S is the surface with vector equation... Problem 9E: Evaluate the surface integral. Sx2yzdS, S is the part of the plane z=1+2x+3y that lies above the... Problem 10E Problem 11E: Evaluate the surface integral. SxdS, S is the triangular region with vertices... Problem 12E: Evaluate the surface integral. SydS, S is the surface z=23(x3/2+y3/2),0x1,0y1 Problem 13E: Evaluate the surface integral. Sz2dS, S is the part of the paraboloid x=y2+z2 given by 0x1 Problem 14E: Evaluate the surface integral. Sy2z2dS, S is the part of the cone y=x2+z2 given by 0y5 Problem 15E Problem 16E: Evaluate the surface integral. Sy2dS, S is the part of the sphere x2+y2+z2=1 that lies above the... Problem 17E Problem 18E: Evaluate the surface integral. S(x+y+z)dS, S is the part of the half-cylinder x2+z2=1,z0, that lies... Problem 19E: Evaluate the surface integral. SxzdS, S is the boundary of the region enclosed by the cylinder... Problem 20E Problem 21E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 22E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 23E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 24E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 25E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 26E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 27E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 28E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 29E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 30E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 31E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 32E: Evaluate the surface integral SFdS for the given vector field F and the oriented surface S. In other... Problem 33E Problem 34E Problem 35E Problem 36E: Find the flux of F(x,y,z)=sin(xyz)i+x2yj+z2ex/5k across the part of the cylinder 4y2+z2=4 that lies... Problem 37E Problem 38E Problem 39E: Find the centre of mass of the hemisphere x2+y2+z2=a2, z0, if it has constant density. Problem 40E: Find the mass of a thin funnel in the shape of a cone z=x2+y2,1z4, if its density function is... Problem 41E Problem 42E: Let S be the part of the sphere x2+y2+z2=25 that lies above the plane z=4. If S has constant density... Problem 43E Problem 44E Problem 45E: Use Gausss Law to find the charge contained in the solid hemisphere x2+y2+z2a2,z0, if the electric... Problem 46E Problem 47E Problem 48E Problem 49E format_list_bulleted