In Exercises 21-40, eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented by the given parametric equations. Use arrows to show the orientation of the curve corresponding to increasing values oft. (If an interval for t is not specified, assume that
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- Sketch and describe the orientation of the curve given by the parametric equations x=2tandy=4t2+2,2t2.arrow_forwardShow that the graph of the parametric equations x = a + (c − a)t, y = b+(d−b)t, t ∈ [0, 1] is a line segment from (a, b) to (c, d ).arrow_forward22-Sick leave of employees in a factory before and after Covid-19 was investigated in a year. Which of the following is the table value in the hypothesis of whether there is a difference between the sick leaves of the employees? (The data do not satisfy the parametric assumption). a) 4 B) 3 NS) 6 D) 7 TO) 5arrow_forward
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- 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_forwardThe parametric equation for the line passing through P(1,1,5) and parallel to n=(0,0,1) is defined as a, x = 1, y = 1, z = -5 + t b. x = 1, y = 1, z = 5 + t c. x = 1, y = -1, z = 5 + t d. x = 1, y = 1, z = 5 - tarrow_forward
- For the given parametric equations, find the points (x, y) corresponding to the parameter values t = -2, -1, 0, 1, 2. x = t2 + t, y = 3t+1arrow_forwardWhat is the rectangular form of the parametric equations? x(t)=t−3,y(t)=2t2−1, where t is on the interval [−2,2]. Enter your answer in the box in standard form.arrow_forward
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