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# UB MTH 121 - 10.1 Homework

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Current Score : 10 / 24 Due : Friday, May 10, 2019 11:59 PM EDT1. 1/1 points | Previous AnswersSCalcET8 10.1.004.Select the curve generated by the parametric equations. Indicate with an arrow the direction in which the curve is traced as t increases. 2. 2/2 points | Previous AnswersSCalcET8 10.1.009.Consider the parametric equations below.10.1 (Homework)samantha OhMath 142 LR-X, section LR-X, Spring 2019Instructor: Kathlene HockadayWebAssignLast Saved : n/a Saving... ()x = e−t + t, y = et − t, −2 ≤ t ≤ 2x = , y = 7 − tt(a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve istraced as t increases.(b) Eliminate the parameter to find a Cartesian equation of the curve.y=7−x2 for 3. 2/2 points | Previous AnswersSCalcET8 10.1.013.Consider the following.(a) Eliminate the parameter to find a Cartesian equation of the curve. y=1x (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. x ≥ 0x = sin(t), y = csc(t), 0 < t < π/24. 1/2 points | Previous AnswersSCalcET8 10.1.014.Consider the following.(a) Eliminate the parameter to find a Cartesian equation of the curve. 1x5 (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. x = et, y = e−5t5. 4/4 points | Previous AnswersSCalcET8 10.1.024.Match the graphs of the parametric equations x = f(t) and y = g(t) in (a) − (d) with the parametric curves labeled I−IV.I II III IV (a) III (b)I (c) IV (d) II6. –/3 pointsSCalcET8 10.1.032.The parametric equationswhere describe the line segment that joins the points and Use a graphing device to draw the triangle with vertices A(1, 1), B(4, 4), C(1, 6). Find the parametrization, including endpoints, andsketch to check. (Enter your answers as a comma-separated list of equations. Let x and y be in terms of t.)A to B B to C A to C 7. –/3 pointsSCalcET8 10.1.033.Find parametric equations for the path of a particle that moves along the circle in the manner described. (Enter youranswer as a comma-separated list of equations. Let x and y be in terms of t.)(a) Once around clockwise, starting at (4, 1). (b) Four times around counterclockwise, starting at (4, 1). (c) Halfway around counterclockwise, starting at (0, 5). x = x1 + (x2 − x1)t, y = y1 + (y2 − y1)t0 ≤ t ≤ 1 P1(x1, y1) P2(x2, y2).x2 + (y − 1)2 = 160 ≤ t ≤ 2π.0 ≤ t ≤ 8π.0 ≤ t ≤ π.8. –/3 pointsSCalcET8 10.1.041.If a and b are fixed numbers, find parametric equations for the curve that consists of all possible positions of the point P in the figure,using the angle θ as the parameter. (Enter your answer as a comma-separated list of equations. Let x and y be in terms of θ.) Eliminate the parameter. Identify the curve.ellipsehyperbola circleparabola 9. –/2 pointsSCalcET8 10.1.502.XP.Consider the following.(a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases.x = et − 6, y = e2t10.–/2 pointsSCalcET8 10.1.503.XP.Consider the following.(a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. x = e4t, y = t +

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