4. a) Is the parametric curve defined at 1 = 27 ? (Is the function that you graphed continuous at ( = 27?) Name Show all work! You may smework and even work together, but please do your own calculations so that you understand; do not just copy what someone else has done. 1. Use your calculator to graph the parametric curve x=t-sint, y=1-cost, Osts6x in a suitable dx b) Is defined at t = 27? window and sketch the graph below. This curve is called a cycloid. 5. a) Investigate the following limits by finding a few values of - for f close to 2x. dx dy lim 2. Find - for the parametric curve given above. dy lim 12x doc b) Describe what you see on your graph of the parametric curve at t = 27 . Is this consistent with your 3. a) Solve algebraically for all t-values (0 $1 567 ) where the graph has a horizontal tangent. limits? b) Find the points (x, y) that correspond to these f-values. c) Do these points agree with your graph