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Exploring Logarithmic Expressions and Simpson's Rule Estimation

This content delves into the evaluation of logarithmic expressions as well as the application of Simpson's Rule for numerical integration. The first question presents a series of options for simplifying a logarithmic expression. The second question challenges learners to estimate an integral using the Simpson's Rule with a specified number of intervals. Engage with these mathematical concepts to enhance your understanding of logarithmic functions and numerical methods for approximation.

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Exploring Logarithmic Expressions and Simpson's Rule Estimation

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  1. Clicker Question 1 • What is ? • A. 3 – 2 ln(5) – 2 ln(2) • B. 3 – 2 ln(5) + 2 ln(2) • C. 2 ln(5) – 2 ln(2) • D. 3 – 2 ln(3) • E. 3 + 2 ln(5) + 2 ln(2)

  2. Clicker Question 2 • What is the Simpson’s Rule estimate of using n = 1 ? • A. (1/6)(4 + 2) • B. (1/6)(2 + 2) • C. (1/3)(2 + 2) • D. (1/3)(4 + 2) • E. (1/6)(6 + 2)

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