Consider f and c below. f(x, y, z) = yzexzi + exzj + xyexzk, c: r(t) = (t2 + 3)i + (t2 − 1)j + (t2 − 2t)k, 0 ≤ t ≤ 2 (a) find a function f such that f = ∇f.

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.

Find solution of the linear equation y = 2/3x + 1/3

Meghan has created a diagram of her city with her house, school, store, and gym identified. a. how far is it from the gym to the store? b. meghan also wants to walk to get some exercise, rather than going to the gym. she decides to walk along arc ab. how far will she walk? round to 3 decimal places.