(1) Find continuous functions f1, f2, f3, f4 defined on the open unit interval I = (0, 1) (i.e. functions fi: (0,1) R) such that • f₁(I) = (L1, M1) • f2(I) = (L2, M2] • ƒ³(I) = [L3, M3) • f4(I) = [L4, M4] for some real numbers Li, Mi.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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(1) Find continuous functions f1, f2, f3, f4 defined on the open unit interval I = (0, 1)
(i.e. functions fi: (0,1) R) such that
• f₁(I) = (L1, M1)
• f2(I) = (L2, M2]
• ƒ³(I) = [L3, M3)
• f4(I) = [L4, M4]
for some real numbers Li, Mi.
Transcribed Image Text:(1) Find continuous functions f1, f2, f3, f4 defined on the open unit interval I = (0, 1) (i.e. functions fi: (0,1) R) such that • f₁(I) = (L1, M1) • f2(I) = (L2, M2] • ƒ³(I) = [L3, M3) • f4(I) = [L4, M4] for some real numbers Li, Mi.
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