4 3. Let a, b, c, d E R. Define explicitly a bijection from [a, b] [c, d]. onto an
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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Hello,
I am hoping for some help with question #3.
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Step 1
First of all, to define a bijection from [a, b] to [c, d], the condition must be satisfied. Since we are asked to define a bijection between the two sets, we assume that the above condition is satisfied.
Now, we have a bijection which is a strictly monotonic function that sends a from [a, b] to c of [c, d] and b from [a, b] to d of [c, d].
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