Consider the linear DE system æ' = Aæ with -14 -90 and A = 2 14 If the initial conditions are given by x (0) find the the functions #1 (t) and x2(t). Enter your answer as a 2x1 column vector, i.e x2 (t).

Solve q. Find the derivative of f.

Find fxxx for f(x,y)=x2y2

Find the velocity and acceleration vectors and the equation of the tangent line for the curve r(t) = √3ti + e¹¹j + 6e¯¹k at t = 0. (Use symbolic notation and fractions where needed. Give your answers in the form (*,*,*).) v(0) = a(0) = (Use symbolic notation and fractions where needed. Give your answers in the form (*,*,*). Use t for the parameter that takes all real values.) 1(t)