Explain Theorem of Solutions of Nonhomogeneous Systems?

Q: Investigate the relationship of Fibonacci numbers with the Golder ratio. 1,1, 2, 3, 5, 8, 13, 21,…

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Q: Let g(x) = x + 5. Find the following values a. g(2) = b. g(-7)= c. g(t) = d. g(x + h) = 2₁1 The…

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Q: Find X(Z) if X(K)=(-¹* K=1,3,5,7 This means that its value is an odd number X(Z) = X(K)Z-k Let…

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A: Consider the Legendre equation 1-x2y''-2xy'+αα+1y=0 So, we have Px=1-x2Qx=-2xR=αα+1 Now,…

Q: Show that a number with 30 digits cannot have more than 100 prime factors. &#160;

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Q: Find the greatest integer less than or equal to log29 S2²10 log₂ (x³ + 1) dx + S₁ 3 (2-1) dx.

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Q: 3z 2z²-5z+2 transform of (3)k x[k]; 3. The initial value of x[k]. Q4:A. If the Z transform of x[k]…

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Q: 5. Find the general solution of the differential equation. 21xy' + y = 462X

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Q: Find X(Z) if X(K)=(-2)* X(Z) = EX(K)Z-k K=1,3,5,7 This means that its value is an odd number

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Q: let T be a linear operator on a finite- dimensional vector space V, and let f(t) be the…

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Q: Find the Laplace transforms of the functions given in Problem: f(1) = sin 2t if a SI S 2n; f(t) = 0…

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Q: In the following problem apply the eigenvalue method to find a general solution of the given system.…

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Q: Calculate the average rate of change for the function f(x) the interval -2 ≤x≤5 = =-3x². 7x over

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Q: 6. If F = Pi + Qj + Rk, prove that div (curl F) = 0

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Q: EX: Find all residues of f(Z) = Sol: f(z)= 50 Z x₁ = [ -=520- 7/42-7] 2-4 (Z+4)(Z-1)² 12= L 11 d 10…

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Q: 6. ((P ^ Q) v R) → P ^ (Q v R)

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Q: Find the particular solution of y2dx + x(x+y) dy=0., when x=1, y=1. Let x=vy

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Q: Find the natural parametrization of r(t) = 1²0₂ + 20y. What is this curve?

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Q: A country's census lists the population of the country as 251 million in 1990, 284 million in 2000,…

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Q: explain the nature of mathematics with exaple

A: Hint: First explain the nature if mathematics then given an example of nature of mathematics.

Q: F.T. If X(t) + + X(W) and X(W) = 7.1²-² (1-72)X = (7)h Ans: Y(w) = -j(w+1) e w+1 [4+jCW+1)]² 2…

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Q: 4. Find and classify the critical points of the given function by using Second Derivatives Test. 1 1…

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