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- Prove that polynomial x^2 + y^2 + y^2 − xy − yz − zx is irreducible in R [x, y].Prove that that the y=0 is the horiz.asymp. and x=-1 and x=1 are vert.asymp, of y=coth-1x through computinglimits.how (in terms of − δ) that a function f : R3 → R defined byf(x, y, z) = (2x + 3y + 4z) is uniformly continuous
- 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. :)f 1 (x) = x and f2 (x) = sin (x) sin Wronskian functions that are linearly independent show using.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 ? Any help would be greatly appreciated. :)
- Compute ƒxz and ƒzz for ƒ(x, y, z) = xyz - x2 z + yz2.4 a. Consider the i.v.p x' = t^(2) + cos(x), x(0) = 0. Verify that the hypothesis of Cauchy Picard theorem for a suitable domain D. b. Then estimate the interval of existence of the solution. Use applied analysis and then I want the solution handwritten.If f(x,y,z)=ln(x2y+sin2(x+y))+227x228y2z229, then ∂4f ∂x2∂y∂z at (1,1,1) is equal to