samantha Oh Math 142 LR X section LR X Spring 2019 Instructor Kathlene Hockaday WebAssign 10 1 Homework Current Score 10 24 Due Friday May 10 2019 11 59 PM EDTLast Saved n a Saving 1 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 x e t t y et t 2 t 2 2 2 2 points Previous AnswersSCalcET8 10 1 009 Consider the parametric equations below x t y 7 t a Sketch the curve by using the parametric equations to plot points Indicate with an arrow the direction in which the curve is traced as t increases b Eliminate the parameter to find a Cartesian equation of the curve y 7 x2 for x 0 3 2 2 points Previous AnswersSCalcET8 10 1 013 Consider the following x sin t y csc t 0 t 2 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 4 1 2 points Previous AnswersSCalcET8 10 1 014 Consider the following x et y e 5t 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 5 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 II 6 3 pointsSCalcET8 10 1 032 The parametric equations x x1 x2 x1 t y y1 y2 y1 t where 0 t 1 describe the line segment that joins the points P1 x1 y1 and P2 x2 y2 Use a graphing device to draw the triangle with vertices A 1 1 B 4 4 C 1 6 Find the parametrization including endpoints and sketch 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 x2 y 1 2 16 in the manner described Enter your answer as a comma separated list of equations Let x and y be in terms of t a Once around clockwise starting at 4 1 0 t 2 b Four times around counterclockwise starting at 4 1 0 t 8 c Halfway around counterclockwise starting at 0 5 0 t 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 as the parameter Enter your answer as a comma separated list of equations Let x and y be in terms of Eliminate the parameter Identify the curve ellipse hyperbola circle parabola 9 2 pointsSCalcET8 10 1 502 XP Consider the following x et 6 y e2t 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 10 2 pointsSCalcET8 10 1 503 XP Consider the following x e4t y t 2 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