Who is Las Casas's intended audience? What does the opening passage tell you about his view of royal authority?

What does source 4 suggest about Benin relations with the Portuguese?

How does de Soto describe the Native peoples he encounters in Florida (source 2)? How does that compare to the traits of the African kingdoms that Lopez comments upon in source 3? Why might the king of Sofala prefer a Portuguese alliance to subjection to Monomotapa?

Who is the intended audience of this cartoon?

For what audience (or audiences) was the document intended? Which groups of readers would have been most likely to accept it? Explain.

a. What decimal number is halfway between 7 and 8? b. What number is halfway between 0.7 and 0.8?

Who is the intended audience for this essay? How can you tell?

What happened to unions during the 1980s?

What can you infer about cultural values among Mississippian peoples from source 1? About the cultural values of the Spanish and Portuguese from sources 5 and 6? What can't you infer from these objects?

Which of the following pieces of evidence would best support Zinn's description of economic changes of this era? a. Written accounts of early transatlantic voyages to the Americas b. Archeological evidence of permanent, indigenous villages in the American Northwest c. European testimony of mutual misunderstandings between Europeans and American Indians d. European debates by religious and political leaders about the treatment of American Indians

The linear transformations $T,U:R^4\to R^4$ are defined as follows:

$$\begin{equation*}T\begin{pmatrix}\begin{bmatrix}x_1\\x_2\\x_3\\x_4\end{bmatrix}\end{pmatrix}= \begin{bmatrix}x_1+3x_2-2x_3+x_4\\3x_1+4x_3+x_4\\2x_1-x_2+2x_4\\x_3+x_4\end{bmatrix}.\end{equation*}$$

$$\begin{equation*}U\begin{pmatrix}\begin{bmatrix}x_1\\x_2\\x_3\\x_4\end{bmatrix}\end{pmatrix}= \begin{bmatrix}x_2-3x_4\\2x_1+x_3-x_4\\x_1-2x_2+4x_4\\5x_2+x_3\end{bmatrix}.\end{equation*}$$

(a) Compute the standard matrices A and B of T and U, respectively. (b) Compute the product AB. (c) Use your answer to (b) to write a rule for TU.

The excerpt from de las Casas can be used most directly to prove which of the following developments in the period 1491 to 1607? a. Many Europeans adopted aspects of American Indian culture and tradition. b. European settlers often misunderstood American Indian cultures and traditions. c. American Indians often sought diplomatic solutions to conflict. d. Europeans disagreed about how American Indians should be treated.

Which of the following pieces of evidence would best support the graph's depiction of economic changes during this era? a. Ship logs recording the goods carried between the colonies and the Caribbean b. Political pamphlets calling for increased resistance to British imperial policies c. Parliamentary records detailing the cost of stationing troops in the colonies d. The diary of an American merchant describing the collection of customs duties

Consider the following functions and points P .

Find the unit vectors that give the direction of steepest ascent and steepest descent at P.