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Precalculus
- 9.1.2 Sketch the plane curve defined by the given parametric equations, and find an x-y equation for the curve. x=1+2cos(t) y=-2+2sin(t)arrow_forwardSuppose a parametric equations for the line segment between (5,2) and (7,8) have the form: x(t)= a+bt y(t)= c+dt If the parametric curve starts at (5,2) when t=0 and ends at (7,8) at t=1, then find a,b,c, and darrow_forwardWhat does the graph of the parametric equations x(t)=3−t and y(t)=(t+1)2, where t is on the interval [−3,1], look like? Drag and drop the answers to the boxes to correctly complete the statements.arrow_forward
- In the given question as follows , sketch the curve represented by theparametric equations (indicate the orientation of the curve), and write the corresponding rectangular equation by eliminating the parameter:- x = t + 1, y = t2arrow_forwardProblem 5: Suppose a curve is traced by the parametric equationsarrow_forwardA curve is given by the parametric equations x=t^2/1-t y=t+1 give an implicit equation in x and y which specifies the same curvearrow_forward
- A lizard moves through the plane with its position at t seconds given by the parametric equations x=3cos(2pi t)+2, y= -6cos(2pi t)+1. The lizard begins moving at t=0 seconds. a. How long does it take for the lizard to return to its starting position for the first time? b. how far does it go in 4 seconds?arrow_forwardFind a parametric equation for the path of a particle that moves halfway around the circle (x^2)+(y-1)^2 = 9 counterclockwise, if the particle starts at (0,4). Let x and y be in terms of t for t between 0 and pi.arrow_forwardA curve has the following parametric equations with parameter t. x=2t-1/2t and y=2t+1/2t. Find dy/dx and d²y/dx² in terms of t. And obtain the coordinates of stationary points of the curve and determine the nature of the points.arrow_forward
- Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning