Answer each question with a minimum of 70 words per question:Discuss the Weierstrass Approximation Theorem. When would you use this theorem? Are there other options for solving these types of problems...

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Answer each question with a minimum of 70 words per question:Discuss the Weierstrass Approximation Theorem. When would you use this theorem? Are there other options for solving these types of problems besides the Weierstrass Approximation Theorem?Discuss the pros and cons for Lagrange interpolations. Be sure to provide specific examples of both pros and cons, and include citations and references for all sources used.


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Answer each question with a minimum of 70 words per question: Discuss the Weierstrass Approximation Theorem. When would you use this theorem? Are there other options for solving these types of problems besides the Weierstrass Approximation Theorem? Discuss the pros and cons for Lagrange interpolations. Be sure to provide specific examples of both pros and cons, and include citations and references for all sources used.






Answer each question with a minimum of 70 words per question: 1) Discuss the Weierstrass Approximation Theorem. When would you use this theorem? Are there other options for solving these types of problems besides the Weierstrass Approximation Theorem? 2) Discuss the pros and cons for Lagrange interpolations. Be sure to provide specific examples of both pros and cons, and include citations and references for all sources used.
Answered Same DayDec 23, 2021

Answer To: Answer each question with a minimum of 70 words per question:Discuss the Weierstrass Approximation...

Robert answered on Dec 23 2021
119 Votes
Question: Discuss the Weierstrass Approximation Theorem. When would you use this
theorem? Are ther
e other options for solving these types of problems besides the
Weierstrass Approximation Theorem?
Answer: “If is a continuous real-valued function on and if any is given, then there
exists a polynomial on such that
for all . In words, any continuous function on a closed and bounded interval can be
uniformly approximated on that interval by polynomials to any degree of accuracy.” (Weisstein,
n.d)
This theorem can be used when the function is unimodal and continuous over the closed and
bounded interval. There are...
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