Question

Which of the following are parametric equations for the entire line y=x+1 ? Choose all that apply.

a) x(t)=t+1, y(t)=t
b) x(t)=t+2, y(t)=t+3
c) x(t)=t^2, y(t)=t^2+1
d) x(t)=t^3, y(t)=t^3+1
e) x(t)=tan (t), y(t)=tan (t)+1
f) x(t)=t, y(t)=t+1
g) x(t)=cos (t), y(t)=cos (t)+1
h) x(t)=t-1, y(t)=t

Answer 1

The parametric equations for the entire line y = x + 1 are x(t) = t + 1, y(t) = t; x(t) = t + 2, y(t) = t + 3; x(t) = t, y(t) = t + 1; x(t) = t - 1, y(t) = t.

Step-by-step explanation:

The parametric equations for the entire line y = x + 1 are:

a) x(t) = t + 1, y(t) = t

b) x(t) = t + 2, y(t) = t + 3

c) x(t) = t, y(t) = t + 1

d) x(t) = t - 1, y(t) = t

So, the correct options are a), b), c), and d).