7. Eliminate the parameter for the given set of parametric equations sketch the graph of the parametric curve x = √t-1, y = 4+ √t + t Determine the bounds on x&y.

A parametric equation of a line in R3 through the point (zo, yo, zo) and parallel to another line with the following parametric equation x = x₁ + at y = y₁ + bt z = 2₁ + ct is 0 x= = (x₁ - x0) + at y = (y₁ - yo) + bt Z= = (2₁-zo) + ct x = x₁ + at y=yo+bt z = 20 + ct tER x = x₁ + (x₁ -xo)t y = yo + (y₁ - yo)t te R z = 20 + (21 - 2o)t tER x= xo + (yoc - zob)t y=yo+ (zoa - xoc)t te R 2= 20 + (zob - yo a)t H= = (xo-x₁) + at y = (30-3₁) + bt z = (20 - 2₁) + ct tER tER