Simplify the following generalized functions then write out how they act on a suitable test function u( a) a ex Icirc acute (a) b a Icirc acute (a 1) c 3 Icirc acute ,(a) 3a Icirc acute 1(x) d e (cos x) Icirc acute (a) Icirc acute (a n) Icirc acute (a n) f 51(X) 82(x)

Question: Simplify the following generalized functions; then write out how they act on a suitable test function u( a): a. ex Î´(a) b. a Î´ (a

Simplify the following generalized functions; then write out how they act on a suitable test function u( a):
a. ex Î´(a)
b. a Î´ (a - 1)
c. 3Î´,(a)-3aÎ´1(x)
d.

e. (cos x)[Î´(a) + Î´(a - n) + Î´(a + n) ]
f.

51(X)-82(x)

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