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:
121/9
Step-by-step explanation:
= 
= 
= 
Answer:
the answer is true.. I think
Answer:
Hence the corresponding equation of the given problem will be:
y'=|x-5|-1
Step-by-step explanation:
Let y' denote the corresponding equation after the translation of the given function y
We are given a equation of a function as: y=|x|.
Now we have to write an equation such that there is a translation 1 unit down and 5 units right of y=|x|.
We know that for any function f(x) the translation 'a' units down is given by:
f(x)-a
And the translation 'b' units right of a function g(x) is given by:
g(x-b)
Hence the corresponding equation of the given problem will be:
y'=|x-5|-1
Answer:
122
Step-by-step explanation:
Round the two numbers to the nearest whole number and add.