Source: John A. Thompson, historian, “The United States and the Age of Imperialism”, 2003

Source: David S. Mason, historian, “Imperialism and American Identity”, 2010

Using the excerpts, respond to parts a, b, and c.

a. Briefly describe one major difference between Thompson’s and Mason’s interpretations of American foreign policy in the late 19th and early 20th centuries.

b. Briefly explain how one historical event or development from 1865 to 1917 not directly mentioned in the excerpts could be used to support Thompson’s interpretation.

c. Briefly explain how one historical event or development from 1865 to 1917 not directly mentioned in the excerpts could be used to support Mason’s interpretation.

The relationship between urbanization and social patterns has significant implications for both human behavior and policy planning.

A. Define urbanization in the context of human geography.

B. Describe ONE social impact of urbanization on family structures in urban areas.

C. Explain how urbanization can lead to the increased prevalence of social issues, such as crime or poverty.

D. Discuss how urban planning can address the challenges associated with rapid urbanization.

E. Explain the role of public transportation in influencing urban development and social equity.

F. Describe how suburbanization may impact the demographic characteristics of urban areas.

G. Explain the degree to which gentrification alters the cultural landscape of neighborhoods in urban settings. (Response must indicate the degree [low, moderate, high] and provide an explanation.)

The temperature of a lake is modeled by a continuous and differentiable function, T(t), which measures the temperature in degrees Celsius at time t (in hours). The following table displays selected values of T(t) over a period of 8 hours.

(a) Using a right Riemann sum with the intervals [0, 1], [1, 3], [3, 5], and [5, 8], approximate the value of the integral

(b) According to the Mean Value Theorem for Integrals, must there exist a time c in [0, 8] such that T'(c) equals the average value of T over that interval? Justify your answer.

(c) Using the average temperature calculated in part (a), estimate the total increase in temperature from t = 0 to t = 8. Provide the mathematical setup for your calculations.

(d) When the temperature of the lake is 25°C, the rate of change of the temperature is given by

This question involves the TemperatureRecord class, which records daily temperatures for a week. You will write two methods in the TemperatureRecord class that help analyze the temperature data.

(a) Write the calculateAverageTemperature method, which calculates the average temperature for the week. The method should add up all the temperatures in the dailyTemperatures array and divide by the number of days (7). If the sum is 0, due to initialization conditions, ensure it returns 0 as the average.

(b) Write the countDaysAboveThreshold method. This method iterates through the dailyTemperatures array and counts how many days have temperatures above the provided threshold. The count is then returned.

Consider the following examples:

Each input will be a valid set of 7 daily temperatures. Complete the countDaysAboveThreshold method, ensuring that it iterates correctly through the dailyTemperatures array.

In a 2021 TED Talk, renowned author and philosopher Alain de Botton stated: "Our culture has created the illusion that the arrived-at life is a happy life. We believe that all we need to do is find our dream job, buy a house, or travel to exotic places, and we will be fulfilled. Yet true contentment comes from a deeper understanding of ourselves, our relationships, and the acceptance of life’s inherent challenges and uncertainties."

Write an essay that argues your position on the extent to which de Botton's claim about the pursuit of happiness and fulfillment is valid.

In your response you should do the following: