~ let Q/ Let X ≈ N(μ₂0²). 16 Y = 2X + b₂ b=0, then distribution of Y is 1) N(μ,bo²) 2) N(2µ+b,40²) 3) N(2μ,40²)
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- A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.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. :)
- Bounded by the cylinder x 2 + y 2 = 1 and the planes y= z x =0 z= 0 in the first octantA region is bounded in the plane by the lines: y=-x+3, y=2x-6, and y=3. Find the volume of the solid given by rotating around the line x=5 using the shell method.A triangle is bounded by the lines y = x, y = -x, and y = 1 When setting up an intergral to find mass or inertia or whatever, why can I not set it up as integral(1, -1) integral(1, x) dydx and instead need to set it up as integral(1, 0) integral(y, -y) dxdy
- Which order of integration is preferable to integrate ƒ(x, y) = xyover R = {(x, y): y - 1 ≤ x ≤ 1 - y, 0 ≤ y ≤ 1}?The volume of the solid obtained by rotating the region bounded by y=(x^2), y=3x about the line y=9 can be computed using cylindrical shells via an integral V=∫_______________dy (with lower limit of alpha and upper limit of beta) with limits of integration alpha=0 and beta=9 P.S. I have already asked this question but the given answer of V=∫(2pi)(y-9)(sqrt(y)-(y/3)) is incorrect.Let Y be a uniform r.v. on the interval (0,1). find E[Y^k] using method of MGF. (Moment Generated Function Be detail. Thanks
- Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x,y,z) so thatBy making an appropriate change of variables, evaluate the double integral I=∬R(x+y)ex2−y2dxdyI=∬R(x+y)ex2−y2dxdy where RR is the rectangle enclosed by the lines x−y=0x−y=0, x−y=2x−y=2, x+y=0x+y=0, and x+y=ln(17)/2x+y=ln(17)/2. Then what is I+ln(17)/4How 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 ? Any help would be greatly appreciated. :)