(xD – 2)(xD + 1)e

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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Please answer and show your complete solution. Indicate also what formula did you use. Thank you!

6. (xD – 2)(xD + 1)e-2*
7. (xD — 1)(D + х)
Transcribed Image Text:6. (xD – 2)(xD + 1)e-2* 7. (xD — 1)(D + х)
The following formulas for operators may be proven by mathematical induction:
F-01. D"eax = a"eax
F-02. $(D)eax = $(a)eax
F-03. D"(ea*)n = e a* (D + a)"u
F-04. $ (D)(ea*u) = ea*$(D+ a)u
F-05. (D – a)"(eaxu) = eax D"u
Transcribed Image Text:The following formulas for operators may be proven by mathematical induction: F-01. D"eax = a"eax F-02. $(D)eax = $(a)eax F-03. D"(ea*)n = e a* (D + a)"u F-04. $ (D)(ea*u) = ea*$(D+ a)u F-05. (D – a)"(eaxu) = eax D"u
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