Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Test Prep Workbook Update
5th Edition
ISBN: 9780328909148
Author: Prentice Hall
Publisher: Prentice Hall
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Rotate the point (2,5) by (3/5,4/5) around origin (0,0).
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- Find an arc length parametrization of the line y = 4x + 6. Consider the following approach to find the parametrization r(s). Step 1: Let r(t) = (t, 4t + 6) Then, Step 2: r' (t) = (1,4) and ||r' (t)|| = √√/17 Now, Step 3: s(t) = [[ *|\r' = ['|' (u) (u) Finally, du du = [' VTT du = 1 √TI = Step 4: r₁(s) = = (t√/17,4√/17t+6) At which step did an error occur? Explain. Step 3, s(t) is found by integrating the argument r' (u) ||r' (u)|| Step 4, the parametrization is r (g¯¹(s)) where t = g¯¹(s). Step 2, the magnitude of r(t) should be 17. Step 1, the parametrization of the line y = 4x + 6 is wrong.arrow_forward23. Parametrize the curve described by the equation y = parametrization to find the length of the curve. x³/2 on the interval [0, 4], then use yourarrow_forward(ans.: 42.2) 21. Let Sech u = 3/5 , determine the values of the remaining five hyperbolic functions.arrow_forward
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