
Evaluate I = Jl. 24X/Y dA , where D is the rectangular region described by 0...
Evaluate I = JJ, že 2x1 da, where D is the rectangular region described by O sxs 4 In (5), and 4 sys8. (Type an exact answer in simplified form.)
(1) Evaluate S SIS "Jo dzdydi B. Evaluate JJ y dA where D is the region bounded by xay and y = 2 - X.
Evaluate the double integral I = Slo xy dA where D is the triangular region with vertices (0,0), (1,0), (0,6).
y, dA where D is the solid in Octa 2 +--4 and the plane y-i. Evaluate by the cylinder nt I bounded JJD
y, dA where D is the solid in Octa 2 +--4 and the plane y-i. Evaluate by the cylinder nt I bounded JJD
Assume x and y are functions of t. Evaluate for 3xe Y = 6- In 16+ 41nx, with the conditions * = 8, x=2, y=0. (Type an exact answer in simplified form.)
4. Evaluate ſfx da, where D is the region in the first quadrant that lies between = 1 and x + y = 2 D
Evaluate the double integral ∫∫D x cos y dA, where D is bounded by x = 0, y = x², and x = 3 Answer:
Evaluate // e-(x+vº)dA where D = {(x,y): x2 + y2 <1,1 20, y 2 0}.
2. (35pt)Evaluate SS 3xy²dA, where R is the region bounded by the graphs of y = -x and y = x2, x > 0 and the graph of x = = 1. R
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.
1. Use polar coordinates to evaluate the double integral dA z2 +y where R is the region in the first quadrant bounded by the graphs x = 0, y = 1, y=4, and y V3z.