Please answer each of them 'plz

Section 9.6 9.6.3 Exercises 1. Find the domain of the vector function r(t ) - ( In( 16t ), v+ + 4, -1 using interval notation 1. Domain: Make Interactive 3. Find a vector parametrization of the circle of radius & in the xy-plane, centered at the origin, oriented clockwise so that the point (8, 0) corresponds to * = 0 and the point (0, -8) corresponds to t = 1. "(t) - [Make Interactive] 5. Suppose parametric equations for the line segment between (0, 0) and (5, -7) have the form: " = atot If the parametric curve starts at (0, 0) when / = 0 and ends at (8, -7) at t- 1, then find o, be, and . Make Interactive 7. Find parametric equations for the quarter-ellipse from (1,0,8) to (0, -2,8) centered at (0, 0, 8) in the plane = = 8. Use the interval 0 $ 1 5 w/2 Make Interactive 8. Are the following statements true or false? a. A parametrization of the graph of y = In(s) for a > 0 is given by red,yetfor -cock too. b. The parametric curve a = (3: + 4)', y = Mat +4)" - 9. for 0 S t $ 3 is a line segment. C. The line parametrizationallel to the x-axis. Make Interactive 12. Let a and & be positive real numbers. You have probably seen the equation I that generates an ellipse, centered at (h, #), with a horizontal axis of length 20 and a vertical axis of length 2% a, Explain why the vector function r defined by r() (a cos(:), bein(:)). I S + $ 2x is one parameterization of the ellipse " -1. D. Find a parameterization of the ellipse + + + = 1 that is traversed counterclockwise. " Find a parameterization of the ellipse WILL + 1 32 - 1. d. Determine the ac-y equation of the ellipse that is parameterized by T(1) - (3 + 4 sin(27), 1 4- 3oce(20))