Give an anticlockwise parametrization r(t) of the arc pictured below beginning at t = 0 and ending at t = π. -1 -1.2 -1.4 -1.6 -1.8 -2 -1 -0.5 0 0.5 1 Give your answer as a vector function, with square brackets [x(t), y(t)]. (Be careful NOT to use an interval from the palette.) r(t) = = [cos(t), -2+sin(t)] t = [0,π] standard function Jogic vector abc unit

The motion of a point on the circumference of a rolling wheel of radius 4 feet is described by the vector function r(t) = 4(12t - sin(12t))i + 4(1 − cos(12t))j Find the velocity vector of the point. v(t) = Find the acceleration vector of the point. a(t) = Find the speed of the point. s(t) = =

Please provide a picture of your workout

Consider r(t) = (2t, 3 sint, 3 cost). a. Find the equation of the tangent line to the curve at the point ( b. Find the unit tangent vector T(t) when t = 3 C. Find the length of the curve from t = 1 to t = 3 π 3√/2 3√2. :) } 2' 2 2