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- Find a set of parametric equations to represent the graph of y=x2+2, using each parameter. a. t=x b. t=2xSolve for the critical points of the parametric equations x = t3 -1, y = t2+tGiven the parametric curve: x = t3-6t2 y = t2-4t What are all the points that the curve passes through more than once?
- Consider the following parametric equations: x=t^2+5t+4, y=4t. Find dy/dx, d2y/dx2, and the line tangent to the curve at point t=0.Solve for the critical points of parametric equation x=t^3-1, y=t^2+tFind dy/dx of the following set of parametric equations 1. x = 3(t-2)2 , y = 9t2 + 4 2. x = 1/(t+1)2 , y = t2 + 3
- Find the points on the parametric curve c(t) = (3t 2 − 2t,t 3 − 6t)where the tangent line has slope 3.Given the parametric equation : X= t +1, Y=t^3 - 4t, 0n -2<=t<=3 [1] Find . d^2y/dx^2 Show work to justify your answers. [2] Determine the concavity of the parametric curve at t = 1. Justify your conclusion.Find the graph of the parametric equations x = cos t, y = sin t. (0 ≤ t ≤ 2Π)