The directional derivative has many engineering applications. In this question we to give such an application. A spacecraft enters distress at the point (x, y, z) = (0,0,1). The temperature at the area the spacecraft is located at is described by the function T(x, y, z) = e -51² -2y² -2z² The spacecraft must move away from the heat source located at (0,0,0), but it can not make a rapid change in the temperature, since its outer coating might crack. Therefore, the space pilots require a flight trajectory along which the value of the directional derivative of the temperature function in the direction of travel is not smaller than -2e2 A. Give an example of a unit vector is whose direction the value of the directional derivative of the temperature function at the point (0,0,1) equals exactly -2e2 + |ĵ+ B. Give an example of a unit vector mŵ is whose direction the value of the directional derivative of the temperature function at the point (0,0,1) is negative and greater than the value -2e2 m 2+ 3+ sale k