Compare and contrast life in the Spanish, French, Dutch, and English colonies, differentiating between the Chesapeake Bay and New England colonies. Who were the colonizers? What were their purposes in being there? How did they interact with their environments and the native inhabitants of the lands on which they settled?

Colonizers were in the case of the Spanish, French and the Chesapeake Bay colony lower nobility, common folk, or indentured servants, while for New England they were religious migrants, and for Dutch settlements merchants and sailors.

Spanish and French proclaimed thier missionary role, and "rescue" of natives, and the colonies in New England also detailed their mission to construct a "city on the hill",while Dutch and English in Chesapeake both were aimed at maximizing profit.

The interaction with environments and natives was influenced by this aims, as Spanish and French colonies tried to assimilate natives like free subjects but with their speficic culture if that did not clash with the Catholic doctrine, and emphasizing conversion and tribute, in the specific case of the French via the fur trade, while for Spanish it would be the encomienda system and later the "hacienda" (latifundia). Dutch engaged primarily with natives as trading partners, not seeking integration, and also without transforming the environment. English for the other did change the environment and clashed with the Natives, althoug at first they used them as life support, due to their poor knowledge of the terrain, but eventually the colonist clashed with the natives.  

d. the polar jet stream   lies between the polar easterlies and trade winds should be your answer

is there a year set? the question is incomplete