I need solve this question of calculus

Question 1 [20 Points] (a) Find parametric equations for the line segment that joins the point P(2, 3, - 3) to the point Q(3, -3, -2). (b) Find the point (if any) at which the line given by the parametric equations a: = 4 515,3; 2 4+6t,z = 6 +tintersectsthe plane 2x+4y+22-8 = 0. Question 2 [20 Points] (a) Find the unit tangent vector on the curve r(t) = [cos(t),2t,3sin(4t)] when t = 0. (b) Evaluate the integral 8 a _. 1 _. f [31' i + 4t3j + k)dt 0 2t+1 Question 3 [20 Points] (a) Find and sketch the domain of the function f(x.y)=\\/X+2 +V y+3 (b) Evaluate the limit lim _28Xy (w) -(0.0) 3X 1/2 along the y-axis and along the line y = ac. Does the limit exist