(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.
(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
Section: Chapter Questions
Problem 1RQ
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Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
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A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
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Plz solve both parts
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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