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 1RCC Problem 2RCC Problem 3RCC Problem 4RCC Problem 7RCC Problem 5RCC Problem 6RCC: Suppose a solid object occupies the region E and has density function (x, y, z). Write expressions... Problem 8RCC Problem 9RCC: (a) If a transformation T is given by x = g(u, v), y = h(u, v), what is the Jacobian of T? (b) How... Problem 1RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 2RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 3RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 4RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 5RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 6RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 7RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 8RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 9RQ: Determine whether the statement is true or false. If it is true, explain why. If it is false,... Problem 1RE: A contour map is shown for a function f on the square R = [0, 3] [0, 31. Use a Riemann sum with... Problem 2RE: Use the Midpoint Rule to estimate the integral in Exercise 1. 1. A contour map is shown for a... Problem 3RE: Calculate the iterated integral. 3. 1202(y+2xey)dxdy Problem 4RE: Calculate the iterated integral. 4. 0101yexydxdy Problem 5RE: Calculate the iterated integral. 5. 010xcos(x2)dydx Problem 6RE: Calculate the iterated integral. 6. 01xex3xy2dydx Problem 7RE: Calculate the iterated integral. 7. 00101y2ysinxdzdydx Problem 8RE: Calculate the iterated integral. 8. 010yx16xyzdzdxdy Problem 9RE: Write Rf(x,y)dA as an iterated integral, where R is the region shown and f is an arbitrary... Problem 10RE: Write Rf(x,y)dA as an iterated integral, where R is the region shown and f is an arbitrary... Problem 39RE Problem 40RE Problem 41RE Problem 42RE Problem 43RE Problem 44RE Problem 11RE: Describe the region whose area is given by the integral 0/20sin2rdrd Problem 12RE Problem 13RE Problem 14RE Problem 15RE Problem 16RE Problem 17RE Problem 18RE Problem 19RE Problem 20RE Problem 21RE Problem 22RE Problem 23RE Problem 24RE Problem 25RE Problem 26RE Problem 27RE Problem 28RE Problem 29RE Problem 30RE Problem 31RE Problem 32RE Problem 33RE Problem 34RE Problem 35RE Problem 36RE Problem 37RE Problem 45RE: Use polar coordinates to evaluate 039x29x2(x3+xy2)dydx Problem 46RE: Use spherical coordinates to evaluate 2204y24x2y24x2y2y2x2+y2+z2dzdxdy Problem 47RE: Rewrite the integral 11x2101yf(x,y,z)dzdydxas an iterated integral in the order dx dy dz. Problem 48RE Problem 49RE: Use the transformation u = x y, v = x + y to evaluate Rxyx+ydA where R is the square with vertices... Problem 50RE: Use the transformation x = u2, y = v2 z = w2 to find the volume of the region bounded by the surface... Problem 51RE: Use the change of variables formula and an appropriate transformation to evaluate RxydA, where R is... Problem 52RE format_list_bulleted