-3t k Compute the first, second, and third derivatives of r(t) = 3ti + 5 In(t)j + 5e

Q: 2. Derive an O(h4) five-point formula to approximate the second derivative f (xo) that uses f(xo –…

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Q: - (7)f | dt, then f (z) 1.

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Q: 4x Let F be the function defined by F(x) 1 dt. Find an expression for (t² – 5)6 F'(x).

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x y = In (x + 2)5 4x - 7 (x +…

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Q: Compute the derivative for r(t) = d dt f(t) = (Use symbolic notation and fractions where needed.)…

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Q: 1. Determine whether the functions f1(x) = cos 3x, f2(x) = x, and f3(x) = cos² x are linearly…

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Q: Compute the derivative of g(x) = | 1 dt. 2 1+t5 2" 1+æ15 1+25z 2" In 2 1+æ15 1+25z 2" 1+a15 1+25z 2"…

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Q: e-82 x2 Define f(x)= In(t) dt . The function f is concave upward on the interval [

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Q: (§5.5, Q34) Calculate the derivative d dæ ), Vi dt.

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Q: 2.Use the Fundamental Theorem of Calculus Part 1 to find the derivative of the functions 17 yt a)…

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Q: (2) The derivative of r at the попzеrо real nuтвer a is Dr.(h) = -h/a². Proof. (1) Compute, p(a + h,…

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Q: Solve the first-order linear ODE t(t + 1)x' + tx = 6.

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Q: -> (6) 금 AxB) at t-1 at t=1 (1) A X 4P

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