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7. (14,5) A particular parametric curve is given by x=1-3, y = 21 +3 for -2...
Consider the parametric equations below. x = 2 + 4t y = 1-t2 (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 = _______ Consider the parametric equations below. x = 3t - 5 y = 2t + 4 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the...
AMERICAN 1. Consider the curve represented by the parametric equations x=1-1 and y = 1° +1, for -2 5732. a. (2) Sketch the parametric curve. b. (3) Eliminate the parameter to find a Cartesian representation of the curve.
1. 2. 3. 4. (1 point) Eliminate the parametert to find a Cartesian equation for I=+2 y= 10 + 2t 2 = Ay? + By+C where A= and B = and C = (1 point) Consider the parametric curve: 2 = 8 sin 0, y = 8 cos 0, 0<<A The curve is (part of) a circle and the cartesian equation has the form 2? + y2 = R2 with R= The initial point has coordinates: 3 = !!! ,y=...
Consider the parametric equations below. - 2 y=+4 -3553 (a) Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the 2 + 6 (b) Eliminate the parameter to find a Cartesian equation of the curve. for 1sYS 7 Need Help?
[G] Find the parametric equations for the curves described below. Then write the corresponding vector-valued function that represents the given curve. Be sure to include an appropriate interval for the parameter. *Make sure you give both the parametric equations and vector- valued function and don't forget the interval for the parameter either. (G.1) The line segment from (-3,4,7) to (6,4,0). (G.2) The segment of the curve with equation y = (x + 4 from (12,4) to (-3,1). (G.3) The lower...
7) no 25n A) 1 D)-; for all x B) 5 10 Parametric equations and and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. Make a table if necessary. Remeber-there is a direction to these curves. [MORE CHOICES ON NEXT PAGEL 8) from A)...
Parametric equations and a parameter interval for the motion of a particle in the xy-plane are given. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x = 2 sin t, y = 5 cost, osts 21 3+ 2+ 1+ -3 4
Let the curve C in the (x, y)-plane be given by the parametric equations x = e + 2, y = e2-1, tER. (a) Show that the point (3,0) belongs to the curve C. To which value of the parameter t does the point (3,0) correspond? (b) Find an expression for dy (dy/dt) without eliminating the parameter t, i.e., using de = (da/dt) (c) Using your result from part (b), find the value of at the point (3,0). (d) From...
Given parametric equations and parameter intervals for the motion of a particle in the xy-plane below, identify the particle's path by finding a Cartesian equation for it Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x=5 cos (t), y = 2 sin(t), Osts 2t The Cartesian equation for the particle is Choose the correct graph that represents this motion, OA ОВ. OC OD Q 2 Click to select your...
The equation below gives parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particle's path by finding a Cartesian equation for it. Graph the Cartesian equation. Indicate the portion of the graph traced by the particle and the direction of motion. x= 4t + 1, y= 16t; -oo<t<o0 Find a Cartesian equation for the particle's path. y = Graph the Cartesian equation below. Indicate the direction of motion as t increases. Choose the...