(b) Let z = sin 1 (in radians) and let y = v2. Prove that the following statement is false: (z+y € Q) A (r- y é Q). %3D (c) Let ai = 1 and let a2 = n. For n > 3, we define recursively an = an-2 - an-1. Is it true that a2021 is rational? Prove that your answer is correct.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Plz solve both parts
Let z = sin 1 (in radians) and let y = vV2. Prove that the following statement is false:
(b)
(z+y € Q) A (r-yE Q).
!!
(c) Let ai = 1 and let a2 = n. For n > 3, we define recursively an = an-2 - an-1. Is it true that
a2021 is rational? Prove that your answer is correct.
%3D
Transcribed Image Text:Let z = sin 1 (in radians) and let y = vV2. Prove that the following statement is false: (b) (z+y € Q) A (r-yE Q). !! (c) Let ai = 1 and let a2 = n. For n > 3, we define recursively an = an-2 - an-1. Is it true that a2021 is rational? Prove that your answer is correct. %3D
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