2. [I3 Points] DETAILS LARCALCET7 103.036. MY NOTES ASK YOUR TEACHER Find all points (if any) of horizontal and vertical tangency to the curve. Use a graphing utility to confirm your results. (If an answer does not exist, enter DNE.) X=t2t+9, y=t33t Horizontal tangents (X; Y) = ( ) smaller X-value (X, Y) = ( ) largerx-value Vertical tangent \"4) Submit Answer 3. [-I1 Points] DETAILS LARCALCET7 10.3.049.M|. MY NOTES ASK YOUR TEACHER Find the arc length of the curve on the given interval. (Round your answer to three decimal places.) Parametric Equations Interval x=6t+5, y=73t lsts3 :1 4. [-I2 Points] DETAILS LARCALCET7 10.3.063. MY NOTES ASK YOUR TEACHER Find the area of the surface generated by revolving the curve about each given axis. X=2t, y=9t, 0sts9 (a) xaxis (b) yaxis 5. [-I1 Points] DETAILS LARCALCET7 10.3.065. MY NOTES ASK YOUR TEACHER Find the area of the surface generated by revolving the curve about the given axis. x = 7 cos((9), y = 7 sin(0), 0 s (9 5 S H . _, y-axns 9. [-/2 Points] DETAILS LARCALCET7 10.5.004. MY NOTES ASK YOUR TEACHER Write an integral that represents the area of the shaded region of the figure. Do not evaluate the integral. r = cos(20) do J3 1/ 4 0.5- -10 -0.5 0.5 1.0 -0.5 -1.011. [-/3 Points] DETAILS LARCALCET7 11.1.005. MY NOTES ASK YOUR TEACHER Find the vectors u and v whose initial and terminal points are given. Initial Point Terminal Point u: (3, 2) (5, 6) V: (1, 5) (3, 8) U = V = Are u and v equivalent? O Yes O No10. [-/2 Points] DETAILS LARCALCET7 10.5.JIT.001. MY NOTES ASK YOUR TEACHER Find the area A of the sector shown in each figure. (a) 74 0 4 A = (b ) 0.4 rad 10 A =7. [-/3 Points] DETAILS LARCALCET7 10.4.022. MY NOTES ASK YOUR TEACHER The rectangular coordinates of a point are given. Plot the point. (-4V/2, -41/2) 4 - 4 X -5 5 - X -5 5 O O -+ 4 - X X 5 -5 5 -5 -5 - 5 O O Find two sets of polar coordinates for the point for 0 s 0