α c={ {Σ k=1 ak 3k and : ακ € {0,2}} Let C be the set defined in Problem 1 above. Define the functions φ : C → [0,1] and ψ : [0, 1] → [0, 1] as follows (Σ)-Σ. Φ k=1 ψ(x) = sup{φ(y) : y € C and y < x}. = What is the range of the function & from last problem?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 24E
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IC ::
=
{Σ
and
k=1
ak
3k
: a. € {0,2}}
Let C be the set defined in Problem 1 above. Define the functions φ : C → [0, 1]
and ψ : [0, 1] → [0,1] as follows
(Σ)-Σ
α
k=1
ak
2
2k
ψ(x) = sup{φ(y) : y € C and y Sa}.
What is the range of the function & from last problem?
Transcribed Image Text:IC :: = {Σ and k=1 ak 3k : a. € {0,2}} Let C be the set defined in Problem 1 above. Define the functions φ : C → [0, 1] and ψ : [0, 1] → [0,1] as follows (Σ)-Σ α k=1 ak 2 2k ψ(x) = sup{φ(y) : y € C and y Sa}. What is the range of the function & from last problem?
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