Question 3 Suppose {s} is a sequence which is not bounded above. Construct a monotone subsequence {s} such that lim Sng = +00. k→∞0

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A: I have explained everything with in the solution, please go through that.

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Q: [5 -6 31 4. For matrix 6 -7 3 one of the eigenvalues equals 2. Find corresponding eigenvector. L6 -6…

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Q: Exercise 3 Use the properties of limits of functions to prove that x+7 lim x+3+x - 3 = +∞ and x+7…

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Q: Solve a² +15x+12=0 (mod 19). For the purpose of practice, you must use three different methods.

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Q: Show that |a²| = aRez if a is a positive real constant..

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Q: 2. Evaluate the vector line integral · dr = ₁ F.Tds where F(x, y, z) = (ez, ex-y, ey) and C is the…

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Q: 4. a. A = b. A = 1 1 1 0 -1 1 -1 2 0 012 2 1 1 -1 17 1 13 2 2. b = 0 b = 3 5

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Q: 10. Use the change of base formula to evaluate the following logarithmic expressions: a. 2 log₁5…

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Q: 102 0 16/ sity3 17 All X1 served I2 I3 G] ate University 200

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Q: 2x - We want to calculate an approximation to the derivative of f(x) = x² +1' a. Use the Centered…

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Q: 21. 36y(4) 22. y(4) 23. y'" 24. y" 37y" + 4y' + 5y = 0. 0. 8y" + 16y 2y' + 5y y' + y 25. y(4) + 5y"…

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Q: 2. Solve the System of First Order Simultaneous Differential Equations x₁ (1) = x₂(1) ; x₁(0)=0, x₂…

A: The system of differential equations is: x1'(t) = x2(t) x2'(t) = -6x1(t) - 7x2(t) - 3 We can write…

Q: 2. Evaluate the vector line integral ſ F · dr = ₁ F · Tds where F(x, y, z) = (e²,ex-y, e³) and C is…

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Q: lity: Investigate Find the formula for (f + g)(x). f(x)=x+2 and g(x) = 2x² + 4x - 5 (f+g)(x) = [?]x²…

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