quiz01' - -0.6-0.4-0.2 3 4 5 6 7 8 The particle travels...

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Quiz 1 Solutions 1. Draw the graph corresponding to the parametric equations x = t 2 - 1 and y = 5 - 3 t , for - 1 t 1. Indicate the direction of travel for a particle that moves along this path. Also, label the coordinates for the starting and ending points of the curve (that is, where t = - 1 and where t = 1) as well as the points where the curve crosses either of the axes. The curve crosses the y -axis at both the starting and ending points, at (0 , 8) for t = - 1 and (0 , 2) for t = 1. Here is the graph: -1 -0.8
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Unformatted text preview: -0.6-0.4-0.2 3 4 5 6 7 8 The particle travels down the parabola. 2. Consider the parametric equations x = cos t and y = t 3 , where t can be any real number. Find the equation of the tangent line to this curve at the point , 3 8 . The curve crosses that point at t = 2 . The slope of the tangent line at this point is 3 t 2-sin t t = 2 =-3 2 4 . So, the equation for the tangent line is y =-3 2 4 x + 3 8 . 1...
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