A) Let c1(t)=(e^(3t),sin(4t),−t^3), and c2(t)=(e^(4t),cos(5t),−5t^3)

d/dt [c1(t)⋅c2(t)]=
d/dt[c1(t)×c2(t)]= i + j + k
b) Find a parametrization of the ellipse centered at the origin in the xy-plane that has major diameter 10 along the x-axis, minor diameter 6 along the y-axis, and is oriented counter-clockwise. Your parametrization should make the point (5,0) correspond to t=0. Use t as the parameter for all of your answers.

x(t)=
y(t)=