Consider F and C below. F(x, y, z) = yz i + xz j + (xy + 18z) k C is the line segment from (2, 0, −2) to (6, 6, 2) (a) Find a function f such that F = ∇f. f(x, y, z) = (b) Use part (a) to evaluate C ∇f · dr along the given curve C.

Write the pair of fractions as a pair of fractions with a common denominator

You just purchased two coins at a price of $670 each. because one of the coins is more collectible, you believe that its value will increase at a rate of 7.1 percent per year, while you believe the second coin will only increase at 6.5 percent per year. if you are correct, how much more will the first coin be worth in 15 years?

Which point-slope form equation represents a line that passes through (3,-2) with a slope of -4/5