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Lab 4 calculus 2 2024 summer semester, Assignments of Calculus

Central Connecticut State University (CCSU)Calculus
Prof. Ivan Gochev

Prove eulers method using a series.

Typology: Assignments

2023/2024

Uploaded on 08/04/2024

jacob-culpepper
jacob-culpepper 🇺🇸

2 documents

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Math 2414 Names:
Lab 9
Objective: To prove Euler’s discovery: .
TEXTBOOK: Chapter 11
Follow all directions precisely. Assume all constants are positive.
1. Find the positive solutions of the equation .
2. Multiply the left-hand side of the equation above to determine the coefficient of
the term. You do not need to find a common denominator.
3. Find the positive solutions to the equation .
4. Multiply the left-hand side of the equation above to determine the coefficient of
the term. You do not need to find a common denominator and you may need
scratch paper.
pf3
pf4

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Math 2414 Names: Lab 9

Objective: To prove Euler’s discovery:.

TEXTBOOK: Chapter 11 Follow all directions precisely. Assume all constants are positive.

  1. Find the positive solutions of the equation.
  2. Multiply the left-hand side of the equation above to determine the coefficient of the term. You do not need to find a common denominator.
  3. Find the positive solutions to the equation.
  4. Multiply the left-hand side of the equation above to determine the coefficient of the term. You do not need to find a common denominator and you may need scratch paper.
  1. Find the positive solutions to the equation.
  2. Use the pattern from problems 2 and 4 to determine the coefficient of the term on the left-hand side of the equation above.
  3. Consider the equation. What are the first four positive solutions?
  4. Use the solutions to factor using the pattern from problem 5.

Now, Note: Euler also discovered that and. The sum of the p-series is still a mystery even though we know it converges.