Find dy/dx. x = t, y = 2 - 4t dy = dxFind dy/dx. X : y = 3 - t dy dxFind dy/dx and d'y/dx , and find the slope and concavity (if possible) at the given value of the parameter, (If an answer does not exist, enter DNE.) Parametric Equations Point x = 6t, y = 5t - 1 t = 6 dy d'y x-2 slopeFind dy/dx and d'y/dx", and find the slope and concavity (if possible) at the given value of the parameter, (If an answer does not exist, enter DNE.) Parametric Equations Point x = 8 cos G, y = 8 sin 0 8 = 4 dy d'y slopeFind dy/dx and d'y/dx", and find the slope and concavity (if possible) at the given value of the parameter, (If an answer does not exist, enter DNE.) Parametric Equations Point x= Vb y=vt -1 := 5 dy d'y slopeFind an equation of the tangent line to the curve at each given point. X =# -4, y=# - 2t at (0, 0) at (-3, -1) at (-3, 3)Consider the following information. Parametric Equations x = 9t, y =1 -9 (a) Use a graphing utility to graph the curve represented by the parametric equations. 10 5 -10 -S 10 -10 10 -5 O -10 -10 O 10 10 -10 -5 10 - 10 10 -5 -5 -10 O -10 O (b) Use a graphing utility to find dx/dt, dy/dt, and dy/dx at the parameter t = - = W / H dy (c) Find an equation of the tangent line to the curve at the parameter t = w / H y =Find all points (if any) of horizontal and vertical tangency to the portion of the curve shown. (Enter your answers as a comma-separated list.) x = cos 8 + 8 sin 8 y = sin 8 - 8 cos 8 horizontal tangents 9 = vertical tangents -8-6 6 8 -8-Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to confirm your results. (If an answer does not exist, enter DNE.) x=p -t+9, y=p - 3t Horizontal tangents (x, y) = smaller x-value (x, y) = larger x-value Vertical tangent (x, y) =Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to confirm your results. (Order your answers from smallest to largest x, then from smallest to largest y. If an answer does not exist, enter DINE.) x = cos 8, y = 2 sin 28 Horizontal tangents (x, y) = (x, y ) = (x, y ) = (x, y) = Vertical tangents (x, y ) = (x, y ) =