# Introduction to Parametric Equations - Page 2

Questions

- For #f(t)= (sqrt(t)/(t+1),t^2-t)# what is the distance between #f(0)# and #f(2)#?
- How do you give parametric equations for the line through (1, 3, -5) that is perpendicular to the plane #2x -3y +4z = 11#?
- How do you find the parametric equations for the rectangular equation #x^2+y^2=16#?
- How do you combine the parametric equations into one equation relating y to x given x=4cost and y=9sint?
- How do you find parametric equations for the line of intersection of the planes 2x + 5z + 3 = 0 and x -3y + z + 2 = 0?
- How do you find the equations of the tangents to that curve #x=3t^2 + 1# and #y=2t^3 + 1# that pass through point (4,3)?
- How do you find two different sets of parametric equations for the given rectangular equation y = 1/x?
- How do you find the Cartesian equation of the curve with parametric equations #x=2cos(3t)#and #y=2sin(3t)#, and determine the domain and range of the corresponding relation?
- How to find the point where the line x = –1 – t, y = 2 + t, z = 1+ t intersects the plane 3x + y + 3z = 1 ?
- How do you find parametric equations to represent the line segment from (-3,2) to (1,-8)?
- How do you find the parametric equations of the line of intersection of the planes x+2z=0 and 2x-3y+4?
- How do you find the range given x=3-2t and y=2+3t for -2 ≤ t ≤ 3?
- For #f(t)= (t/sqrt(t+1),t^2-t)# what is the distance between #f(0)# and #f(2)#?
- How do you find the parametric equations for the intersection of the planes 2x+y-z=3 and x+2y+z=3?
- For #f(t)= (t-t^3,t^3)# what is the distance between #f(0)# and #f(3)#?
- For #f(t)= (1/(2t-3), t/sqrt(t^2+1) )# what is the distance between #f(0)# and #f(1)#?
- How do you convert #x^2 + y^2 = 49# into parametric equations?
- How do you convert parametric equation to cartesian x = t - 2 and y = -(t²) + t + 1?
- For #f(t)= ((lnt)^2/t,t^3)# what is the distance between #f(2)# and #f(4)#?
- How do you find a vector equation and parametric equations for the line segment that joins P to Q where P(-7, 2, 0), Q(3, -1, 2)?