A) prove that the set in 14b is closed, by showing that its complement is open (directly from the definition of open sets). b) prove that the same set is closed, using the generalization of proposition 1.4.9 which is true for maps from c to r or rm as well.

Asegment in the complex plane has a midpoint at 7 – 2i. if the segment has an endpoint at 11 – 3i, what is the other endpoint?

According to the data set, where should the upper quartile line of the box plot be placed?

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)