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Exercise. Find the result of the operations indicated in each of the following problems using formulas (F-01) to (F-05). 7. (xD – 1)(D +x)

Exercise. Find the result of the operations indicated in each of the following problems using formulas (F-01) to (F-05). 7. (xD – 1)(D +x)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Exercise. Find the result of the operations indicated in each of the following problems using formulas (F-01) to (F-05). 7. (xD – 1)(D +x)
Transcribed Image Text:Exercise. Find the result of the operations indicated in each of the following problems using formulas (F-01) to (F-05). 7. (xD – 1)(D +x)
The following formulas for operators may be proven by mathematical induction: F-01. D"eаx 3 а"еах F-02. Ф(D)eax %3D Ф(а)еах F-03. D"(eax)n %3 еаx (D + a)"и = F-04. Ф(D)(eaxи) — е ах Ф(D + a)и F-05. (D — a)"(е ах и) %—D еах D"и
Transcribed Image Text:The following formulas for operators may be proven by mathematical induction: F-01. D"eаx 3 а"еах F-02. Ф(D)eax %3D Ф(а)еах F-03. D"(eax)n %3 еаx (D + a)"и = F-04. Ф(D)(eaxи) — е ах Ф(D + a)и F-05. (D — a)"(е ах и) %—D еах D"и
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