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Find the result of the operations indicated in each of the following problems using formulas (F – 01) to (F – 05). 3. (D2 – D + 3) (x In x) 4. (D³ – 3D2 – 4)(e2*sin2x)

Find the result of the operations indicated in each of the following problems using formulas (F – 01) to (F – 05). 3. (D2 – D + 3) (x In x) 4. (D³ – 3D2 – 4)(e2*sin2x)

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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Find the result of the operations indicated in each of the following problems using formulas (F – 01) to (F – 05). 3. (D² – D + 3) (x In x) 4. (D³ – 3D? – 4)(e²*sin2x)
Transcribed Image Text:Find the result of the operations indicated in each of the following problems using formulas (F – 01) to (F – 05). 3. (D² – D + 3) (x In x) 4. (D³ – 3D? – 4)(e²*sin2x)
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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