Multivariate Calculus

Th ED 491 1281931. X Double Integral X * Guidelure buy A I activecalculusorg/mult /5-11-3-Double-Integrals Generalhtml W. = Contents Index Determined in to) and (cy Double Riemann Sums and Double Integrals over e. Determine the exact average temperature, Tyway, over the region D. Rectangles Iterated Integrals 13. Consider the solid that is given by the following description: the base is the Double Integrals over given region D. while the top is given by the surface = = p(a, y). In each setting General Regions below, set up, but do not evaluate, an iterated integral whose value is the exact Applications of Double volume of the solid. Include a labeled sketch of D in each case. Integrals a. Dis the interior of the quarter circle of radius 2, centered at the origin, Double Integrals in Polar that lies in the second quadrant of the plane; p(r, y) = 16 - 2 - p. Coordinates Surfaces Defined b. D is the finite region between the line y = a + 1 and the parabola y = 13; Parametrically and Surface p(=, D) = 10- x - 2p. Area c Dis the triangular region with vertices (1, 1). (2, 2), and (2,9); Triple Integrals Triple Integrals in Cylindrical d. D is the region bounded by the y-axis, y = 4 and = = VM. and Spherical Coordinates p(zy = vitzty. Chance of Variables Authored in PreText POWERED BY 14. Consider the iterated integral I = cos(v ) duda. MathJax a Sketch the cazion of integration Type here to search O 241 AM3. (8 points) Find 2y 3x +2 A where R = {(r, y) | 0 5 x 1, 05y5x). 4. (8 points) Find the volume of the solid z = 3x + 2: and above the region bounded by x = y' and x = y