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11. Evalute the following, where R is the area bounded by y = Vx and y...
Calculate the double integral ||(x + 3 y) dA where R is bounded by y = Vx and y = x
2. Find the area of the region bounded by the curves y=12-x, y=Vx, and yż0.
Find the area of the region described. The region bounded by y=8,192 VX and y=128x2 The area of the region is (Type an exact answer.)
Apply Green's theorem to evalute
, where c is the boundry of the area enclosed by the x-axis and
the upper- half of the circle x2+y2
=a2 .
Je (272-y?)dx+(2+y)dy
Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4.
Evaluate: vr y-x dA , y + 2x+1 where R is the parallelogram bounded by y-x-2, y-x-3, y + 2x = 0, andy+2x=4.
17.3 Evaluate the following integral: SSR cosh(x + y)dA where R is the region bounded by x > 0, y = 0 and the line x + 2y = 2.
(1) Evaluate S SIS "Jo dzdydi B. Evaluate JJ y dA where D is the region bounded by xay and y = 2 - X.
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
Let F be the vector field on R3 given by F(x,y,z)=(2xz,-x,y^2)
evalute the volume integral below. cheers
19. Let F be the vector field on R given by F(r,y,z) = (2xz, -x, y2) Evaluate 2xzdV, FdV xdV where V is the region bounded by the surfaces 0, y = 6, z = x2 and z = 4. 0, y
Determine the following integral where D is the region bounded by x = y, y = 0 and x+y= 2. S S (1 + xy") da = D [3 points]