Let F = ∇f, where f(x, y) = sin(x − 8y).
Find curves C1 and C2 that are not closed and satisfy the equation.
(a) ∫ C1
F · dr = 0
(b) ∫ C2
F · dr = 1

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

3382-299=3383- ? fill in the blank?

Is a positive integer raised to a negative power always positive