Answer:
There are approximately 27,613,774 primes between 0 and 230,948,202
Step-by-step explanation:
The Prime Number Theorem states that between 0 and 
, the number of primes in this interval can be approximated by the following formula.
So
How many primes occur between 0 and 230,948,202?
This is approximately 
So
There are approximately 27,613,774 primes between 0 and 230,948,202
Answer:
The two iterations of f(x) = 1.5598
Step-by-step explanation:
If we apply Newton's iterations method, we get a new guess of a zero of a function, f(x), xₙ₊₁, using a previous guess of, xₙ.
xₙ₊₁ = xₙ - f(xₙ) / f'(xₙ)
Given;
f(xₙ) = cos x, then f'(xₙ) = - sin x
cos x / - sin x = -cot x
substitute in "-cot x" into the equation
xₙ₊₁ = xₙ - (- cot x)
xₙ₊₁ = xₙ + cot x
x₁ = 0.7
first iteration
x₂ = 0.7 + cot (0.7)
x₂ = 0.7 + 1.18724
x₂ = 1.88724
second iteration
x₃ = 1.88724 + cot (1.88724)
x₃ = 1.88724 - 0.32744
x₃ = 1.5598
To four decimal places = 1.5598
Answer:
30 Edges.
Step-by-step explanation:
Euler's formula tells us that 
(Vertices - edges + faces = 2).
Plug the numbers in:
Solve:
Therefore, there are 30 edges.
