Mathematics, 08.04.2020 00:15 happyabbie23
G For the curve parameterized by x(t) = 3 sin t, y(t) = 5 cost, for −π/4 ≤ t ≤ π/2: (a) Sketch the curve and the direction traced out as t increases. (b) Set up, but do not evaluate, the arc length of the curve. (c) Geometrically, and without solving an integral, estimate the length of the curve.
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![s = \int\limits^{0.5\pi}_{-0.25\pi} {[\left( 3\cdot \cos t\right)^{2}+\left(-5\cdot \sin t \right)^{2}]} \, dx](/tpl/images/0588/1503/8f20b.png)
, c) 
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G For the curve parameterized by x(t) = 3 sin t, y(t) = 5 cost, for −π/4 ≤ t ≤ π/2: (a) Sketch the c...
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