Jff Fav V where Vis the region bounded by the surfaces x = 0, y = 0, y = 6, z = x², z = 4. (a) 24i 128j + 384k 3) Let F= 2xzi - xj + y²k. Then (b) 128i +24j+ 384k (c) 24i + 128j + 384k (d) 128i 24j+ 384k =
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- What is the absolute extrema of Q(y,z) = y2z2 on a region with vertices at the points (0,0), (0,4) and (4,0)?How would I solve ∭xzdV, where E is bounded by the planes z = 0, z=y, and the cylinder x2 + y2 = 1 in the half-space y ≥ 0 ? Thanks for you help in advance. :)How would I go about solving ∭xzdV, where E is bounded by the planes z = 0, z=y, and the cylinder x2 + y2 = 1 in the half-space y ≥ 0 ? Thanks for you help. :)
- Integrate f (x, y) = x over the region bounded by y = x, y = 4x − x^2, and y = 0 in two ways: as a vertically simple region and as a horizontally simple region.find the absolute maximum and minimum values of ƒ on the region R. ƒ(x, y) = x2 - y2 - 2x + 4y R: The triangular region bounded below by the x-axis, above by the line y = x + 2, and on the right by the line x = 2.Bounded by the cylinder x 2 + y 2 = 1 and the planes y= z x =0 z= 0 in the first octant
- The solid bounded by the surfaces S1: −2 (z - 2) = y2 S2: x = 5 - 2z S3: x = 0 S4: y = 0 S5: z = 0 Corresponds to: The graphics are in the attached imageThe solid bounded by the surfaces: S1 : −2(z − 2) = y2S2 : z = (x−1)/2S3 : x = 0S4 : y = 0S5 : z = 0 Corresponds to: the graph is in the first attached image If V is the volume of the previous solid, then it is true that: the answers are in the second attached imageFind the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 3 + 6x3/2 R: rectangle with vertices (0, 0), (0, 5), (4, 5), (4, 0)
- 3 Find the abscissa of the centroid of the region between the parabola y = 9 − x2 and the line y = 2 − 2x from x = 0 to x =2. Express your answer in 3 decimal places.A region is bounded by the parabola 2x^2+4x+y=02x2+4x+y=0 and the line y+2x+4=0y+2x+4=0. a] Evaluate the volume of the solid generated when the area of the region is revolved about the line x=1x=1. (Use a single integral.) b] Set up the integral for the volume generated when the same area is revolved about the line y=−6y=−6. (Use a single integral.)Describe the region of the xy-plane whose points (x0; y0) have this property:the IVPy0 = ln(1 + xy); y(x0) = y0has a unique solution