Answer:
the face would be unrolled and the base (circle) would be at the bottom
it would look like:
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.
I think there are two solutions, 63 or 147:
63 = 3² x 7, factors 1 | 3 | 7 | 9 | 21 | 63<span>
147 = 3 x 7</span>², factors 1 | 3 | 7 | 21 | 49 | 147
Answer:
The length of line segment AB is 9 units.
Step-by-step explanation:
To find this, you count how many squares there are between the two points. Hope I helped.
Answer:
C) 7
Step-by-step explanation:
3^x−2=2187
Step 1: Add 2 to both sides.
3^x−2+2=2187+2
3^x=2189
Step 2: Solve Exponent.
3^x=2189
log(3x)=log(2189) <<Take log of both sides
x*(log(3))=log(2189)
x= log(2189)/log(3)
x=7.000832
