T Diagnostic Tests 1 Functions And Limits 2 Derivatives 3 Inverse Functions: Exponential, Logarithmic, And Inverse Trigonometric Functions 4 Applications Of Differentiation 5 Integrals 6 Techniques Of Integration 7 Applications Of Integration 8 Series 9 Parametric Equations And Polar Coordinates 10 Vectors And The Geometry Of Space 11 Partial Derivatives 12 Multiple Integrals 13 Vector Calculus A Trigonometry B Sigma Notation C The Logarithm Defined As An Integral expand_more
12.1 Double Integrals Over Rectangles 12.2 Double Integrals Over General Regions 12.3 Double Integrals In Polar Coordinates 12.4 Applications Of Double Integrals 12.5 Triple Integrals 12.6 Triple Integrals In Cylindrical Coordinates 12.7 Triple Integrals In Spherical Coordinates 12.8 Change Of Variables In Multiple Integrals Chapter Questions expand_more
Problem 1E: Evaluate the integral in Example 1, integrating first with respect to y, then z, and then x. EXAMPLE... Problem 2E: Evaluate the integral E(xy+z2)dv, where E=(x,y,z)0x2,0y1,0z3 using three different orders of... Problem 3E: Evaluate the iterated integral. 3.020z20yz(2xy)dxdydz Problem 5E: 36 Evaluate the iterated integral. 5. 0/20y0xcos(x+y+z)dzdxdy Problem 6E: 00x0xzx2sinydydzdx Problem 4E: Evaluate the iterated integral. 6. 010101z2zy+1dxdzdy Problem 7E: Evaluate the triple integral. 9. EydV, where E=(x,y,z)0x3,0yx,xyzx+y Problem 8E: Evaluate the triple integral. 10.EezydV, where E=(x,y,z)0y1,yx1,0zxy Problem 9E: Evaluate the triple integral. 11. Ezx2+z2dV, where E=(x,y,z)1y4,yz4,0xz Problem 10E: Evaluate the triple integral. 12. EsinydV, where E lies below the plane z = x and above the... Problem 11E: Evaluate the triple integral. 13. E6xydV, where E lies under the plane z = 1 + x + y and above the... Problem 12E Problem 13E: 716 Evaluate the triple integral. 13. T x2 dV, where T is the solid tetrahedron with vertices (0, 0,... Problem 14E: 7-16 Evaluate the triple integral. 14. TxyzdV, where T is the solid tetrahedron with vertices (0, 0,... Problem 15E: Evaluate the triple integral. 17. ExdV, where E is bounded by the paraboloid x 4y2 + 4z2 and the... Problem 16E: Evaluate the triple integral. 18. EzdV, where E is bounded by the cylinder y2 + z2 = 9 and the... Problem 17E Problem 18E: Use a triple integral to find the volume of the given solid. 20. The solid enclosed by the... Problem 19E: Use a triple integral to find the volume of the given solid. 21. The solid enclosed by the cylinder... Problem 20E: Use a triple integral to find the volume of the given solid. 22. The solid enclosed by the cylinder... Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E: Express the integralEf(x,y,z)dV, as an iterated integral in six different ways, where E is the solid... Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E: Write five other iterated integrals that are equal to the given iterated integral. 35.... Problem 34E Problem 35E Problem 36E Problem 37E: 3740 Find the mass and center of mass of the solid E with the given density function . 37. E is the... Problem 38E Problem 39E Problem 40E Problem 45E Problem 46E Problem 47E Problem 48E Problem 41E Problem 42E Problem 44E Problem 49E Problem 50E format_list_bulleted