# D the tangent line l 2 has equation y 0521 0521 x

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(d) The tangent line L2has equation:y=0.521 0.521x +-1.128 -1.13.3.5/5 points| Previous AnswersSCalcET8 10.1.045.Ask Your TeacherMy NotesSuppose that the position of one particle at time tis given byx1= 5sin(t), y1= 2 cos(t), 0 ≤ tand the position of a second particle is given byx2= −5 + cos(t), y2= 1 + sin(t), 0 ≤ t≤ 2≤ 2ππ.(a) Graph the paths of both particles.
How many points of intersection are there?2 2points of intersection(b) Are any of these points of intersection collision points? In other words, are the particles ever at the same place at the same time?
If so, find the collision points. (Enter your answers as a comma-separated list of ordered pairs. If an answer does not exist, enter DNE.)
(c) If the x-coordinate of the second particle is given by x2= 5 + cos(tinstead, is there still a collision?)
Solution or ExplanationClick to View Solution4.3/3 points| Previous AnswersAsk Your TeacherMy NotesThe parametric equationsx= x1+ (x2x1)t, y= y1+ (y2ywhere 0 ≤ t≤ 1describe the line segment that joins the points P1(x1, y1and P2(x2, y2).Draw the triangle with vertices A(1, 1), B(4, 4), C(1, 7). Find the parametrization, including endpoints, and sketch to check. (Enter your answers as a comma-separated list of 1)t)
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