values. a) ⌊1.1⌋ b) ⌈1.1⌉ c) ⌊−0.1⌋ d) ⌈−0.1⌉ e) ⌈2.99⌉ f ) ⌈−2.99⌉ 2. Determine whe
values. a) ⌊1.1⌋ b) ⌈1.1⌉ c) ⌊−0.1⌋ d) ⌈−0.1⌉ e) ⌈2.99⌉ f ) ⌈−2.99⌉ 2. Determine whe
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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Question
1. Find these values. a) ⌊1.1⌋ b) ⌈1.1⌉ c) ⌊−0.1⌋ d) ⌈−0.1⌉ e) ⌈2.99⌉ f ) ⌈−2.99⌉
2. Determine whether each of these functions from {a, b, c, d} to itself is one-to-one.
a) f(a) = b, f(b) = a, f(c) = c, f(d) = d
b) f(a) = b, f(b) = b, f(c) = d, f(d) = c
3. Give an example of a function from N to N that is
a) one-to-one but not onto.
b) onto but not one-to-one.
c) both onto and one-to-one (but different from the identity function).
d) neither one-to-one nor onto
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