MATH237 Lecture 14: MATH237 Lecture Notes 14

Let F = cos (4t) I +ti +4t^3 k and G = t^2 cos (4t) I +t^3 j +4e^2t k Find the cross product

In () Setting u which of the following is equivalent to / dz ? tL tL tL

cos(2r) dz? sin (2z) Setting u = sin (2x) , which of the following is equivalent to du 125 r du 1 du 1 du 1 du Lu 1 du 25 6

(1 pt) (St 1) i t sin t) j 5t4k, G Let F Find the vector derivative 5,tn (3)(4sin (t),tcos (t))20tA(3) (2) G. (3) H e 5t 4t cos(4t)j es k and H ri 1 t