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
Your answer is 1.2.
I hope I helped you! :)
We are given the expression (x + 14) - (8 - 2x). The question is asking us to simplify this expression, and we can do that by first using the distributive property. This gives us x + 14 - 8 + 2x. Now, just combine like terms, which gives us 3x + 6. Therefore, the answer to your query is 3x + 6. Hope this helped and have a phenomenal day!
Answer:
7/4 - 8/3 - |1/6 - 3/4|
criss cross both sides to find their respectively simplified forms.
let's do (7/4 - 8/3) first.
(4 × 8) - (7 × 3) / 3 × 4
= 32 - 21 / 12
= 11 / 12.
then simplify |1/6 - 3/4| by criss crossing the pure numbers inside the absolute value.
Remember, no number can get out of the absolute value while being negative.
= |6 × 3 - 4 / 24|
= |18 - 4 / 24|
= |14/24|
= | 7 × 2 / 12 × 2 |...cancel the 2's
= |7 / 12| --> 7/12
11 / 12 - 7 / 12
= 4 /12
= 4 × 1 / 4 × 3....cancel the 4's
= 1 / 3.
