http://www.stat.ucla.edu/~nchristo/statistics100B/hw100b_1_w17_sol.pdf

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Webb. Determine the optimal value of h to use in computing y(5), assuming δ = 10−6 and that Eq. (5.14) is valid. Solution. a. The exact value of y(5) is 5.00674. Using algorithm 5.1, with h = 0.2, we get y(5) ≈ 5.00378, with h = 0.1, we get y(5) ≈ 5.00515, and with h = 0.005, we get y(5) ≈ 5.00592. b. On 0 ≤ t ≤ 5, we have y00(t) = d2 ... WebFor example, if the parameter is t (a common choice), then t might represent time. Then x and y are defined as functions of time, and (x (t), y (t)) (x (t), y (t)) can describe the position in the plane of a given object as it moves along a curved path. Parametric Equations and Their Graphs. Consider the orbit of Earth around the Sun. lenovo タブレット 画面録画 音声

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Webx = et - 5 y = e2t (a) Eliminate the parameter to find a Cartesian equation of the curve. y = This problem has been solved! You'll get a detailed solution from a subject matter expert … Web1. Use the Table of Integrals in the back of your textbook to evaluate ∫11dx/x^2√16x^2+36 a.Perform the substitution u. arrow_forward. Find the indefinite integral ∫ dx/√ (1 − 4x2) arrow_forward. Show using residues that the integral from 0 to infinity of dx/ (1+x^6) equals (2pi)/3. arrow_forward. WebFeb 22, 2024 · y = x² + 10x + 25. Step-by-step explanation: Given the parametric equations: x = e^t - 5. y = e^(2t) We are required to obtain the Cartesian equation by eliminate the parameter 't'. To do this, let us rewrite the equation y = e^(2t) by taking square roots of both sides as. √y = e^t. This can be easily subtracted from x = e^t - 5. Subtracting ... a flutter metoprolol