Find the total length of the minimum spanning tree: 7 97 3 8 53 50 100 96 0 4 48 66 70 81 6 2 5 56 11 1

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A: Given that  F=720 Nx=4 meters  So, the spring constant is k=Fxk=7204k=180 and, mass  m=45 kg

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A: Form the equation and then use first derivative to maximize.

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A: Given: x7-7 in ℚxTo find: a) Splitting field E of  x7-7 in ℚx              b) E:Q

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A: Question 05:-

Q: Fill in the blank. (Enter your answer in terms of t.) 1 (s-9)³

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Q: Consider the vector field shown in the figure below together with the paths C₁, C2, and C3. C2 C3 ?…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (4t-1)³ L{f(t)} =

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Q: 1. Let A and B be matrices of relevant dimensions, and AB = 0. Can we say that the columns of B are…

A: Let A and B be two matrices such that AB =0 Where , 0 is zero matrix .

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Q: 3 Use induction to prove: for any integer n ≥ 1, 3 evenly divides n³ + 2n.

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Q: #6 Solve Ax = 6 where A= 1 -1 2 ㄹ 0 2 ( 1 -30 21 16 3 H 2 b = MT

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Q: Analysis proof excercise: The function f: R → R is defined by f(x) = 0 x is irrational x is rational…

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Q: Hence construct explicitly a decreasing differentiable function g(x) such that lim g(x) = 0 lim…

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A: We have calculated derivative and verified it by putting the values in the differential equation