F(x, y, z) = yzexzi + exzj + xyexzk, c. r(t) = (t2 + 5)i + (t2 − 1)j + (t2 − 5t)k, 0 ≤ t ≤ 5 (a) find a function f such that f = ∇f.

Monitors manufactured by tsi electronics have life spans that have a normal distribution with a standard deviation of 1800 hours and a mean life span of 20,000 hours. if a monitor is selected at random, find the probability that the life span of the monitor will be more than 17,659 hours. round your answer to four decimal places.

Subtract and simplify. (-y^2 – 4y - 8) – (-4y^2 – 6y + 3) show how you got the answer if your answer is right i will mark you

Gabrielle's age is three times mikhail's age. the sum of their ages is 40 . what is mikhail's age? __ years old