a) A fluid material moves in 3 dimensional space with the following vector flow equation: 93 =10(sin(x))i + zyj + yzk Determine whether the vector flow converges or diverges at point (0.5, -10, 94). Explain your answer. b) The temperature, T = T(x, y, z), of a certain object is given by T(x, y, z) = 93xy ln(z) i. Calculate the rate of change of the temperature (directional derivative) at coordinate (2, 3, 94) in the direction of a = i +2j+ 3k. Show your derivations. ii. Determine whether it is possible to have a directional derivative of -55 at coordinate (2, 3, 94). Explain your answer. (Hint: Calculate the lowest directional derivative value).