Quiz 5: Professor Ms. Chowdhury Math 107

Quiz 5 Professor Ms Chowdhury Math 107

Evaluate the following problems related to logarithmic, exponential, and logistic functions, as well as basic algebraic and financial calculations. Show all work for short answer questions.

Paper For Above instruction

The quiz comprises multiple-choice and short answer questions focused on key mathematical concepts such as exponential functions, logarithms, inverse functions, domain analysis, and applications including population modeling and compound interest calculations. The problems test understanding of mathematical expressions, transformations, and real-world applications of mathematical models.

In the initial multiple-choice section, examine and evaluate expressions involving exponentials and logarithms, analyze the domain of functions, find inverse functions, interpret logistic growth models, perform logarithmic calculations, and work with compound interest formulas. Specific questions include calculating approximate values using calculator or logarithm properties, converting between logarithmic and exponential forms, and applying formulas to model investments and population growth.

The short answer section requires detailed work, including finding the domain of composite functions, graphing functions via coordinate tables, solving exponential equations, and interpreting models of biological growth and radioactive decay. Properly showing work, particularly for algebraic and radical equations, is essential for full credit.

References

  • Anton, H., Bivens, I., & Davis, S. (2013). Calculus: Early Transcendental Functions (11th ed.). John Wiley & Sons.
  • Larson, R., & Edwards, B. H. (2019). Precalculus (10th ed.). Cengage Learning.
  • APEX Learning. (2017). Algebra and Functions. Pearson.
  • Lay, D. C. (2016). Linear Algebra and Its Applications (5th ed.). Pearson.
  • Brady, R. C. (2017). Mathematical Methods in the Social Sciences. Quantitative Methods Series.
  • Ross, S. (2014). An Introduction to Mathematical Economics. Springer.
  • Seymour, M. (2018). Calculus for Business, Economics, and the Social and Life Sciences. Pearson.
  • Swipe, L. (2015). Financial Calculations and Formulas. Wiley.
  • Brady, R. C. (2016). Principles of Mathematical Analysis. Springer.
  • Hogg, R. V., McKean, J. W., & Craig, A. T. (2014). Introduction to Mathematical Statistics. Pearson.

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