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Question. Consider () - ( cos(t), sin(t)) for 0 +< 2. Parameterine this curve by are...
1. Consider the curve i(t) = (t sin(t) + cos(t))i + (sin(t) – t)j + tk. (a) Find the length of the curve for 0 <t<5. (b) Is the curve parameterized by arc length? Justify your answer. (C) If possible, find the arc length function, s.
Question 11 1p Determine the length of the curve r(t) = (2, 3 sin(2t), 3 cos(2t)) on the interval ( <t<27 47107 Озубл 47 0 250 √107 None of the above or below Previous Ne
Solve fort, 0 < t < 27. 32 sin(t)cos(t) = 12 sin(t)
Eliminate the parameter to sketch the curve: 2 = sin -0, 1 y = cos -0, 20, - <O<a
T Find the length of the curve e' cos(t) e' sin(t) for 0 < t < 2 y (Hint: You can simplify the integrand by expanding the argument inside the square root and applying the Pythagorean identity, sinº (0) + cos²O) = 1.)
Question 17 Calculate the arc length of the curve r(t) = (cos: t)+ (sin t)k on the interval 0 <ts. Question 18 Find the curvature of the curve F(t) = (3t)i + (2+2)ż whent = -1. No new data to save. Last checked a
TT If sin sin (m) cos(0) and 0° < 2. t then 2 =
Find the length of spiral curve T() = ----- 0 < > < 2”
Find all solutions to cos(7a) - cos(a) = sin(4a) on 0 Sa<
t <2 2 < t < 3 t23 0, 2 sin(rt), 0, Find the Laplace transform F(s) of f(t) F(s) = hw9,47