The role of curl and divergence in multivariable Calculus is similar to the role of words in acomposition; in order for the final product to make sense, you need to know in which order things may be placed. Supposefis a smooth scalar function andFis a smoth vector field. State whether each expression below is meaningful. If not, give a brief explanation why. If so, state whether it isa scalar function or a vector field. (a) curl(f)
(b) div(F)
(c) delta F
(d) div(curl(F))
(e) delta f (div(F)
(f) delta f
(g) curl(delta f)

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

Rectangle bcde is similar to rectangle vwxy. what is the length of side vy? a) 1 7 b) 2 7 c) 3 7 d) 4 7

Anature center offer 2 guided walks. the morning walk is 2/3 miles. the evening walk is 3/6 mile. which is shorter