A radioactive radiation with strength P(x,y,z)=e −x 2
−y 2
−(2+100) 2
is suddenly dischanrged. A man standing at the point (1,1,−100) must run away, in the direction of maximum decrease of radiation. What direction should he choose? (Give your answer using component form or standard basis vectors. Express numbers in exact form. Use symbolic notation and fractions where needed.) direction vector: The man decided to run along the path x=1+2cos(t),y=1−2sin(t),z=t−100. Find the directional derivative of P(x,y,z) in the direction of the path at t=0. (Express numbers in exact form. Use symbolic notation and fractions where needed.) directional derivative: