[+10 points) Find the parametric equations for the graphs below: a. [+5 points] Uniform circular motion,...
The position of an object in circular motion is modeled by the given parametric equations. Describe the path of the object by stating the radius of the circle, the position at time to the orientation of the motion (clockwise or counterclockwise), and the time that it takes to complete one revolution around the circle. x = 5 cos(4), y = sin(40) radius of the circle position at time to (x, y) = orientation of the motion dockwise counterclockwise time it...
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
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...
[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...
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...
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...
1. Find parametric equations and a parameter interval for the motion of the particle starting at the point (2,0) and tracing the top half of the circle x2 + y2 - 4 four times =1 2.Replace the cartesian equation with polar equation x2y 9 xy = 2 (x - 3)" + (y + 1)? - 4 3. Identify the symmetries of the curves. Then sketch the curves in the x-y plane a) = 2-2cost b)r? - sint 1. Give a...
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 = 6-3, y = 362; - <t< Find a Cartesian equation for the particle's path. y=0 Graph the Cartesian equation below. Indicate the direction of motion as t increases. Choose the...
show your work + mention the correct option from the photos 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 = 3 sin t, y = 5 cost, Osts 2n 4+ -1+ -2+ = 1 Counterclockwise from (3, 0) to (3....
7. (-/1 Points) DETAILS LARCALC11 11.R.037. Find sets of parametric equations and symmetric equations of the line that passes through the two points. (For the line, write the direction numbers as integers.) (7, 0,5), (10, 11, 9) (a) Find sets of parametric equations. (Enter your answer as a comma-separated list of equations in terms of x, y, z, and t.) (b) Find sets of symmetric equations. *57 - 11 3+5 0 - 7x + 3 = 11y = -5z +...