Ch 10-1 WS

# Ch 10-1 WS - c Find all points of inflection on each curve...

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M r s . W a l d r o n B C C a l c u l u s Ch 10.1 Parametric Functions Worksheet In exercises 1 and 2, a) sketch the parametric curves, b) determine if y is defined as a function of x, and c) eliminate the parameter to find an equation that relates x and y directly. 1. x = t + 2 and y = 3t – 1 for t in the interval [-2, 2] 2. x = 6 cos t and y = 6 sin t in the interval [ 0, 2 π ) For exercises 3 and 4, consider the curve defined parametrically by x and y for 0 t π . a) Sketch a graph of each curve. Indicate the direction in which it is traced. b) Find the highest or lowest point of each curve.

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Unformatted text preview: c) Find all points of inflection on each curve. 3. x = t 2 – 1 and y = - 2 sin t, for 0 ≤ t ≤ π . 4. x = sin t and y = .5 cos t for – π /2 ≤ t ≤ π /2. Find the length of the curve on the indicated interval. 5. x = cos t – sin t, y = sin t – cos t, 0 ≤ t ≤ 2 π 6. x = 3 cos 3 t, y = 3 sin 3 t, 0 ≤ t ≤ 2 π Find the length of one arch of the cycloid. 7. x = 4 (t – sin t), y = 4 (1 – cos t) 8. x = 2 (t – sin t), y = 2 (1 – cos t)...
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Ch 10-1 WS - c Find all points of inflection on each curve...

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