Given the vector function (1) = (e+→¹², 2√³+1, 4 arctan(1-1)), find the speed and the equation of the tangent line to this curve at t = 2, then graph the tangent line. Speed= i(t) =

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A: Since you have posted a multiple question according to guidelines I will solve first question for…

Q: Use the method of Characteristic to solve Burger's equation. ut - tuux = 2t, u(x,0) = 3x.

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Q: O Consider the infinite series where 9 ER. Show using induction or otherwise we have - Σ qk, k=0 Sn…

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Q: Find a pair of parametric equations for y= 3(x - 5)² +2. Show all your work for full credit.

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Q: The equation x²/3 + y?/3 = 4 describes an astroid: a. Find an expression for in terms of x and y. b.…

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