Step-by-step explanation:
Given:
Sleep hour = 7.5 hr
Assume;
School hour = 6 hr
Homework = 2.5 hr
Eating and playing = 5 hr
Free time = 3 hr
Find:
Percent of each school day
Computation:
Sleep hour = 7.5 hr = [7.5/24]100 = 31.25%
School hour = 6 hr = [6/24]100 = 25%
Homework = 2.5 hr = [2.5/24]100 = 10.41%
Eating and playing = 5 hr = [5/24]100 = 20.83%
Free time = 3 hr = [6/24]100 = 12.5%
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:
Result after multiplication of polynomial is: 
Degree of polynomial = 3
Step-by-step explanation:
The given polynomials are:
In order to multiply the given polynomials we have to work step by step. First of all the polynomials in the bracket will be multiplied and then their result will be multiplied with x.
So, multiplying the polynomials in round brackets first
Now multiplying with x
Degree of a polynomial is the highest exponent of variable in the polynomial.
In the acquired result, the highest exponent of x is 3 so the degree is 3.
Hence,
Result after multiplication of polynomial is:
Degree of polynomial = 3
Answer:
is the distance between the point A and point B.
Step-by-step explanation:
Let
A ≡ (x₁, y₁) ≡ (-9 , -8 )
B ≡ (x₂, y₂) ≡ (-6 , -4 )
Now by Pythagoras Distance formula we have
a² + b² = c²
N=-14
-7×2 is -14
you do the opposite when finding a letter
