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gizmo_the_mogwai [7]
3 years ago
8

Katie worked on her science fair project for 2.5 hours on Tuesday and 1.75 hours on Friday. How many hours did she work on the p

roject Tuesday and Friday combined? Show your work.
Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

4.25 hrs.

Step-by-step explanation:

  2.5

+  1.75

---------

   4.25

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Answer:

The value of f(z) is not constant in any neighbourhood of D. The proof is as explained in the explaination.

Step-by-step explanation:

Given

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To Prove

The function f(z) is non-constant constant in the neighbourhood lying in D.

Proof

1-Assume that the value of f(z)  is analytic and has a constant throughout some neighbourhood in D which is ω₀

2-Now consider another function F₁(z) where

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3-As f(z) is analytic throughout D and F₁(z) is a difference of an analytic function and a constant so it is also an analytic function.

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5-Replacing value of F₁(z) in the above gives:

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So this indicates that the value of f(z) for all values in domain D is a constant  ω₀.

This contradicts with the initial given statement, where the value of f(z) is not constant thus the assumption is wrong and the value of f(z) is not constant in any neighbourhood of D.

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