The differential operator (D+4)3 is supposed to annihilate the function z2e-4, we will check that: (D) (2²e-4)= A (D+ 4) (x²e-42) = D((D+4)(x²e-4)) = (D+4)²(x²e-4)= D((D+4)²(z²e-4)) = (D+4)³(x²e-4)= A A 1. A 12

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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The differential operator (D+4)³ is supposed to annihilate the function ze, we will check that:
(D) (2²e-4)=
A
(D+ 4)(x²e-42) =
D((D+ 4)(x²e-4)) =
(D+4)²(a²e-4)=
D((D+4)²(z²e-4²)) =
(D+4)³(x²e-4²) =
A
1.
1.
1.
Transcribed Image Text:The differential operator (D+4)³ is supposed to annihilate the function ze, we will check that: (D) (2²e-4)= A (D+ 4)(x²e-42) = D((D+ 4)(x²e-4)) = (D+4)²(a²e-4)= D((D+4)²(z²e-4²)) = (D+4)³(x²e-4²) = A 1. 1. 1.
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