Find the volume of the given solid. Under the surface z = 1 + x²y² and above the region enclosed by x = y² and x = 4.

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Q: Diagonalize the following 3x3 matrix. [ {3,3,3},{3,3,3},{3,3,3}]

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Q: (a pour) = (d(1) a) +...+ d& T dG T dl) +04+ mos ad ppo desta sedang

A: Here we use that (p-i)^p=-(i^p) in mod p. We proof this by binomial expansion.

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Q: Find the radius (a) Σ n!zn!, n=0 Ζ n! of convergence of (b) Σ zn! n=0 Ξ (c) (d) n=0 n=0 (e) Σ amzn,…

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Q: Find the Jacobian (x, y)/(u, v) for the x = 4u - v, y = 6u + 3v a(x, y) a(u, v) 11

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Q: Find the steady-state vector for the transition matrix. 1/5, 2/5 4/5, 3/5   X =

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Q: 1. Define f(x) = & Prove that f: R→ R is continuous. if z 20 -2² if r ≤0

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A: Ratio test -: If a series ∑n=1∞anxn is given and  limn→∞an+1an=L if L<1,then series converges…

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Q: 1) Deduce the special case ( for the special) case si z = g(x,y) SS SSF Cry + y ) dudv . D (x,y) ED…

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Q: 4. [Falkner Section 15 Exercise 1 - modified] Show that the intervals A = [1, ∞) and B = (1, ∞) have…

A: In this case we define two segment. One for natural numbers and one for other numbers.

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