Online Homework 5 Due Sun 08142016 1159 pm Show IntroInstruc

Online Homework 5 Due Sun 08/14/2016 11:59 pm Show Intro/Instructions Questions Eliminate the parameter t to find a Cartesian equation in the form z f(y) for: -3t2 y(t) = 4 + 5t z(t)= Q3 11/1] The resulting equation can be written as Preview Q5 11/1] License Points possible: 1 Unlimited attempts Submit Q 10 [1/1] Q 12 [1/1] Q 13 [1/1] Q 15 [1/1] Q 16 [1/1] Q 18 [1/1] Q 19 [1/1] Q 20 11/1] Q 21 [1/1] Q 22 11/1] Q 23 11/1] Q 24 [1/1] Q 25 11/1] Q 26 11/1] Q 27 11/1] Q 28 11/1] Q 29 11/1] Q 30 [1/1]

Solution

1) x(t) = -3t^2 -----(i)

y(t) = 4 +5t -----(ii)

(y-4)/5 = t

substitut \'t\' in equation 1

x = - 3(y-4)^2/25

25x = -3(y -4)^2

(y -4)^2 = (-3/25)x

Equation of parabola