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- Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. x= -2 t+6 y= -t+ 10 Written as a Cartesian equation, this becomesWrite the corresponding rectangular equation by eliminating the parameter 0 x = 5 +3 sec 0 %3D y = -3+4tand %3DFind v if r = 3 inches and the point rotates at 15 rpm.
- A child enters a carousel that takes one minute to revolve once around. The child enters at the point (0,1), that is, on the due north position. Assume the carousel revolves counterclockwise. What are the coordinates of the child after 75 seconds? Enter the exact answer as a point, (a,b).A child enters a carousel that takes one minute to revolve once around. The child enters at the point (0,1), that is, on the due north position. Assume the carousel revolves counterclockwise. What are the coordinates of the child after 120 seconds?A child enters a carousel that takes one minute to revolve once around. The child enters at the point (0, 1), that is, on the due north position. Assume the carousel revolves counterclockwise. What are the coordinates of the child after 90 seconds? Enter the exact answer as a point, (a, b).
- Solve and show all solutions. The motion of a particle in space is defined by the parametric equationx(t)=-t2+3t+1,in meter and y(t)=2t+5,in meter. Determine the velocity when t=5 seconds.Solve and show all solutions. The motion of a particle in space is defined by the parametric equationx(t)=-t2+3t+1,in meter and y(t)=2t+5,in meter. Determine the acceleration of the particle when t=5 seconds.Use cylindrical coordinates.