The relationship between the development of the factory system and the growth of cities can best be described as which of the following? 1. a direct relationship
2. an independent relationship
3. an inverse relationship
4. a symbiotic relationship

For each of the following claims, determine whether they are true or false. justify your determination (show your work). if the claim is false, state the correct asymptotic relationship as o, θ, or ω. unless otherwise specified, lg is log2.(a) (b) (c) (d) (e) (f) (g) (h) (i) (j)n+1 =22n =2n =1 =ln2 n =n2 +2n−4 =33n = 2n+1 =√n = 10100 =o(n4) o(2n)θ(2n+7 ) o(1/n)θ(lg2 n) ω(n2 )θ(9n ) θ(2n lg n )o(lg n) θ(1)

Why is investing in a mutual fund less risky than investing in a particular company's stock? a. mutual funds only invest in blue-chip stocks. b. investments in mutual funds are more liquid. c. mutual funds hold a diversified portfolio of stocks. d. investments in mutual funds offer a higher rate of return.

While inserting images, the picture command is usually used to insert photos from a digital camera, and the clip art command is usually used to a.edit the sizes and other characteristics of photos that have been inserted. b.take a screenshot of an image and copy it to the clipboard for pasting. c.search for drawings or other images from a library of prepared pictures. d.make illustrations using lines and shapes that are easy to manipulate.