I would say around 25 to 35
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
For any given function f(z), it is analytic and not constant throughout a domain D
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
F₁(z)=f(z)-ω₀
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.
4-Assume that the value of F₁(z) is 0 throughout the domain D thus F₁(z)≡0 in domain D.
5-Replacing value of F₁(z) in the above gives:
F₁(z)≡0 in domain D
f(z)-ω₀≡0 in domain D
f(z)≡0+ω₀ in domain D
f(z)≡ω₀ in domain D
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.
Answer:
$37.97
Step-by-step explanation:
The price of the shoes before tax is 100% of the price of the shoes.
Then the tax adds 5.5% of the price of the shoes to the price of the shoes.
He ends up paying 100% + 5.5% of the price of the shoes.
100% + 5.5% = 105.5%
Now we find 105.5% of $35.99.
105.5% of $35.99 = 1.055 × $35.99 = $37.96945
Answer: $37.97
Answer:
a-17.3 miles b-S57 E
Step-by-step explanation:
d^2=30^2+12^2-2(30)(12)
sin45
Answer:
-26 + 4/5d
Step-by-step explanation:
-2/5 ( 15 - 2d + 50)
= -2/5 ( 65 - 2d)
= -2/5 * 65 - (-2/5) * 2d
= -26 - (-4/5d)
= -26 + 4/5d
