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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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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)
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)