Calculus 3

Please help me this problems and also write the numbers of each question

\f15. DETAILS SCALCET9 13.2.007. MY Consider the following vector equation. r(t) = 3 sin(t)i - 2 cos(t)j (a) Find r' (t). r'(t) = (b) Sketch the plane curve together with the position vector r(t) and the tangent vector r'(t) for the given value of t = 4 4 4 2 X -4 12 4 -4 4 - 21 -2 -4O AO A y 4 4 4 -2 X 2 4 -4 -2 X 2 4 9 -4 -4 O (i