In the following exercise eliminate the parameter t. Then use the rectangular equation to sketch the plane curve represented by the given parametric equations. Use arrows to show the orientation of the curve corresponding to increasing values of t x= √√5t, y = 5t-8; - 00 and ys. with the restriction x> OB. The rectangular equation is OC. The rectangular equation is O D. The rectangular equation is Choose the correct graph below. with restrictions ≤x≤ and sys. with no restrictions on x and y. O A. O B. O C. Ay Q Q Q Q mmitm 101 to live O D.

Find the rectangular equation of the line given by the parametric equations below. Then graph the line and show its orientation. Assume that t can be any real number. x-t-6, 一一 +4 3 O=0 Rectangular equation:

Determine which of the given points are on the graph of the equation. Equation: y = Vx - 6 1 11 Points: (9, - 3), 4 (9,9) 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The point(s) that are on the graph of the equation are (Type an ordered pair. Use a comma to separate answers as needed. Type an exact answer, using radicals as needed.)

Click the play button and note the values of the angular speed w, and the linear speed v. (i) How does decreasing the radius affect the linear speed? (ii) How does increasing the radius affect the angular speed? Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. Click here to launch the interactive figure. (1) Choose the correct answer below. O A. When the radius decreases the linear speed increases. B. When the radius decreases the linear speed stays the same. C. When the radius decreases the linear speed decreases. (ii) Choose the correct answer below. O A. When the radius increases the angular speed increases. O B. When the radius increases the angular speed stays the same. O C. When the radius increases the angular speed decreases.