Suppose f(x, y)=x/y, p=(−1,4) and v=4i−1j. a. find the gradient of f.∇f=i+ jnote: your answers should be expressions of x and y; e. g. "3x - 4y"b. find the gradient of f at the point p.(∇f)(p)=i+ jnote: your answers should be numbersc. find the directional derivative of f at p in the direction of v. duf=note: your answer should be a numberd. find the maximum rate of change of f at p. note: your answer should be a numbere. find the (unit) direction vector in which the maximum rate of change occurs at p. u=i+ j

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.