Continuity and Differentiability Extra questions: 1) If f(x) = is continuous at x = 0‚ find the value of a and b 2) A function f is defined as f(x) = for x 1 = - for x = 1. Show that f(x) is differentiable at x = 1 and find its value 3) Let f(x) = if x 2 = k‚ if x = 2. If f(x) is continuous for all x‚ then find the value of k. 4) Let f(x) be a function of x defined as f(x) = ‚ x 1
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Many years ago at around 3500 B.C. Mesopotamians invented two things that would change the world forever. These inventions still influence our world today. Ancient Mesopotamia helped the world and still does‚ but if there wasn’t a written language everything would be a disaster‚ but two inventions helped the world and it was a written language and Hammurabi’s Code. How would you communicate with letters? Well‚ the Mesopotamians paved the way with the invention of cuneiform. Cuneiform was developed
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The early civilizations of Mesopotamia and Egypt were very similar‚ but they were also different in some ways. Both Mesopotamia and Egypt developed their civilizations centered on rivers‚ but these rivers were polar opposites. Mesopotamia was between two rivers called the Tigris and Euphrates rivers. Egypt’s civilization developed around the Nile River. The Tigris and Euphrates rivers differed from the Nile River. The Nile River was calm‚ and the Tigris and Euphrates Rivers were wild and very unpredictable
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Egypt and Mesopotamia have both similarities and differences; one aspect that was very different between Egypt and Mesopotamia was the government. In Egypt‚ they had just one leader‚ the pharaoh. Egypt would have needed this strong central government for projects such as organizing and overseeing of the pyramid buildings. The early Mesopotamians used a city-state type government. Each area was controlled by its own political and economic center. Each area was a separate political unit. The social
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Ryan Bowman 8/19/2012 AP World History 3rd Similarities/Differences of Mesopotamia and Egypt Mesopotamia and Egypt have many similarities and differences in many aspects. Though regionally close‚ Egypt and Mesopotamia had many differences‚ such as social structure and government structure. While both civilizations differed as in social structure of their society and government structure; they also had similar aspects as in cultural development. Comparing the two‚ they both had close advances
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Change Over Time Essay Prompts 8000 BCE to 600 CE • Analyze the changes and continuities in major trading patterns within and among Classical civilizations; include their contacts‚ including religious‚ with adjacent regions. • Discuss the changes and continuities in the Silk Road trading network from 600 BCE – 1450 • Discuss the changes and continuities that occurred in the roles and functions of cities in major societies from the Neolithic Revolution to 1450. • Trace and
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AP World History Mesopotamia and ancient Egypt both shared many distinct qualities amongst their civilizations. For example‚ their polytheistic beliefs as well as a similar social structure. These two civilizations differed in numerous modes‚ including political authority and geography. Mesopotamian civilizations settled along the Tigris-Euphrates Rivers. Egyptians settled along the Nile River. Both of these civilizations used their rivers as a natural resource to survive. Agriculture was
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Egypt than in Mesopotamia. They were similar in ways such as‚ they both incorporated and influenced the culture of neighboring peoples. The environment in Egypt has special features that the Mesopotamia lacked that ensured a prosperous civilization. Women were entitled to rights in Egypt that only men were allowed to have in Mesopotamia. However‚ they both gained new cultures and tools by traveling peoples and left their marks on other civilizations. The environment of Mesopotamia and Egypt differed
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important role in society. The Tigris and Euphrates rivers were crucial to the people of mesopotamia. The geography of Mesopotamia helped the people in ways of providing a keen land for farming‚ a method of transportation‚ and a polytheistic religion for society to follow. The unpredictable flooding of the Tigris and Euphrates rivers led to many advances as well as a mesopotamian religion. The people of mesopotamia believed in many gods that would control the natural events of their land. They practiced
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evolved through the centuries. A perfect example of this is Eurasia from 600-1450. There were many continuities and changes in Eurasian trade. During this time period there was continuity with how trade spread ideas and disease‚ but there was also change in technology that allowed trading over larger distances and in who controlled trade. Much of how trade spread ideas and disease
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