16. Find the result of the operations indicated in each of the following problems using formulas (F-01) to (F-05). (Dª – 3D²+ 5D²)e²* a. 12e2* b. 7e5x C. 24e2* d.

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Chapter1: Functions And Models
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16. Find the result of the operations indicated in each of the following problems using
formulas (F-01) to (F-05). (D4 – 3D 3 + 5D?)e2x
a. 12e2*
b. 7e5x
C. 24e2x
d. 6e2x
Transcribed Image Text:16. Find the result of the operations indicated in each of the following problems using formulas (F-01) to (F-05). (D4 – 3D 3 + 5D?)e2x a. 12e2* b. 7e5x C. 24e2x d. 6e2x
The following formulas for operators may be proven by mathematical induction:
F-01. D"eax — a"eах
F-02. Ф(D)eax 3 Ф(а)еах
F-03. D"(eax)п %3 еаx (D + a)"и
F-04. Ф(D)(eаxи) %3 еахф(D + а)и
F-05. (D — а)"(еaхи) — еах р"и
Transcribed Image Text:The following formulas for operators may be proven by mathematical induction: F-01. D"eax — a"eах F-02. Ф(D)eax 3 Ф(а)еах F-03. D"(eax)п %3 еаx (D + a)"и F-04. Ф(D)(eаxи) %3 еахф(D + а)и F-05. (D — а)"(еaхи) — еах р"и
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