evaluate the integral with the conditions as seen in the attached picture
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Evaluate ∫∫𝑥2+𝑦2‾‾‾‾‾‾‾√𝑑𝐴 ∫ ∫ D x 2 + y 2 d A , where D is the domain in Figure 4
1. (4 points) Evaluate the double integral on the given domain D xy where D={(x,y):25x54,15ys3} 2. (4 points) Evaluate the double integral on the given domain S dxdy © 1(x2 + y2)3 where D=(x,y):15x2 + y2 <4, yzo}
please do no. 4 3. Evaluate the triple integral JIJD rdV, where D is the solide by the parabolic cylinder y and the planes 0 where D is the solid enclosed a picture. 4. Use triple integrals to represent the volume of the solid inside the cylinder x2 + y2 = 9, below the semi cone-va2t7 and above the plane z 0. Sketch a picture. 3. Evaluate the triple integral JIJD rdV, where D is the solide by the parabolic...
Evaluate the double integral ∫∫D x cos y dA, where D is bounded by x = 0, y = x², and x = 3 Answer:
Evaluate JJD VE2 + y2 dA, where D is the domain in Figure 4 -R FIGURE 4 JDv dA 39200.29257 Evaluate JJD VE2 + y2 dA, where D is the domain in Figure 4 -R FIGURE 4 JDv dA 39200.29257
Evaluate the surface integral f(x,y,z) dS using a parametric description of the surface. 2 f(x,y,z) x 2 where S is the hemisphere x + y +z2 = 25, for z 2 0 The value of the surface integral is (Type an exact answers, using t as needed.) Evaluate the surface integral f(x,y,z) dS using a parametric description of the surface. 2 f(x,y,z) x 2 where S is the hemisphere x + y +z2 = 25, for z 2 0 The...
Evaluate the triple integral. ∫∫∫E(x - y) dV, where E is enclosed by the surfaces z = x2 - 1, z = 1 - x2, y = 0, and y = 2
(b) Evaluate the double integral e(y-2)/(y+2) dA where D is the triangle with vertices (0,0), (2,0) and (0,2). (Hint: Change variables, let u = y - x and v = y + x.)
f(x,y)= x^4 + 2x^2 y^2 + y^4 Double integral D= (r, theta) 3<=r <= 4 pi / 3 <= theta <= pi Evaluate double integral over polar rectangular region 3367 pi / 18 is final answer
Evaluate the triple integral on the given domain -2 + y2 + z2 dxdydz R where R = {{x,y,z):15 x2 + y2 +z39,85 0, y = 0, 220}