Exercise 2. Solve the optimal тахи (t) Sit. 3 control problem [( 1-2x² (4) +2^²^(()) + x' (t) = 4 u(t), X101=1, x(2) free.

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Q: (a) (3) Let V be a vector space over some field F Let W be a subspace of a vector space V. Suppose…

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Q: Perform error analysis of approximation derived (a) 1 x² 1 - at xo = 0 X (b) sin (₁) ₁ X- at x = = 0…

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A: Given matrix is A = -3-1-2-2-1002-1

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A: e^(logx)=x

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Q: 14. Evaluate a. 2/3 b. 2/9 C. 34 d. 4/9 r(7/3) r(1/3)

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Q: 1. Evaluate the ff (-1/2 + j/2) raised to the 4th power. a. 1/8 b. -1/4 C. -3/4 d. 1/3 I

A: Follow the steps.

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Q: (a) Derive the equation of the parabola x² = 4py.

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Q: The solution of the following exact initial value problem (2x siny + y³e) dx + (x² cos y + 3y² e) dy…

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Q: Question function r(t) = (1¹ In 1, ¹2³,-3e-3¹). Find the integral / r(t)dt. b) Find parametric…

A: Given that  r(t)=t4 lnt, t-32, -3e-3t Solution a) ∫r(t)dt=∫t4 lnt, t-32, -3e-3tdt⇒∫r(t)dt=∫t4 lnt…

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Q: f(x)= x³ -0.73x² - 44.0085x + 100.387125; [1.75, 3.25]; € ≤ 0.029

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Q: Maximize p = x-y+z+w subject to x+y+z≤8 y+z+w≤ 8 x+z+w≤9 x+y+ws9 x ≥ 0, y ≥ 0, z ≥ 0, w ≥ 0.

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Q: Which of the following statement is true in Z? Oxy(x+y=0); (x+y=0); xy(x+y=0); None of these

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Q: Using matrix algebra techniques, find a general solution to the system. 3x-8y y' = 8x-31y x(t) y(t)…

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Q: Find the value of 1-1/16 (x² + y²) dy dx + ſ', [~ ² * (x² + y²) dy de by expressing it as one…

A: From, the given integral, draw the region of integration.