Suppose f(x, y)=xy, p=(−4,−4) and v=2i+3j. a. find the gradient of f. ∇f= i+ j note: 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+ j note: your answers should be numbers c. find the directional derivative of f at p in the direction of v. duf= note: your answer should be a number d. find the maximum rate of change of f at p. note: your answer should be a number e. find the (unit) direction vector in which the maximum rate of change occurs at p. u= i+ j note: your answers should be numbers

What is the vertex form of f(x) = x2 + 6x + 3

What additional information could be used to prove abc =mqr using sas? check all that apply.

Arrange the steps to solve this system of linear equations in the correct sequence. x + y = -2 2x – 3y = -9 tiles subtract 3x + 3y = -6 (obtained in step 1) from 2x – 3y = -9 (given) to solve for x. substitute the value of x in the first equation (x + y = -2) to get y = 1. the solution for the system of equations is (-3, 1). x = -15 the solution for the system of equations is (-15, 13). add 3x + 3y = -6 (obtained in step 1) to 2x – 3y = -9 (given), and solve for x. x = -3 substitute the value of x in the first equation (x + y = -2) to get y = 13. multiply the first equation by 3: 3(x + y) = 3(-2) 3x + 3y = -6.