For #f(t)= (t^3-t^2+1,t^2-t)# what is the distance between #f(2)# and #f(5)#? Calculus Parametric Functions Introduction to Parametric Equations 1 Answer VinÃcius Ferraz Jul 19, 2018 #6 sqrt{265}# Explanation: #f(2) = (8 - 4 + 1, 4 - 2) = (5,2)# #f(5) = (125-25+1,25-5) = (101,20)# dist = #sqrt{96^2 + 18^2} = sqrt 9540 = sqrt{2 ^ 2 * 3 ^ 2 * 5 * 53 }# Answer link Related questions How do you find the parametric equation of a parabola? How do you find the parametric equations for a line segment? How do you find the parametric equations for a line through a point? How do you find the parametric equations for the rectangular equation #x^2+y^2-25=0# ? How do you find the parametric equations of a circle? How do you find the parametric equations of a curve? What are parametric equations used for? What is the parametric equation of an ellipse? How do you sketch the curve with parametric equations #x = sin(t)#, #y=sin^2(t)# ? How do you find the vector parametrization of the line of intersection of two planes #2x - y - z... See all questions in Introduction to Parametric Equations Impact of this question 1443 views around the world You can reuse this answer Creative Commons License