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
(-10.5,5.5), this is the answer, hope it helped
Answer:
Equation is x^2/576+y^2/400=1
Vertical height is 19.84inches
Step-by-step explanation:
The equation of an ellipse with horizontal major axis with center at (0,0) is x^2/a^2+y^2/b^2=1
From the question, a=24 and b=20
Therefore the equation of the ellipse = x^2/24^2+y^2/20^2=1
= x^2/576+y^2/400=1
To calculate vertical height y:
y^2/400=1- x^2/576
y^2=(1- x^2/576)*400
y=20√(1- x^2/576)
At x=3 inches from the centre
y=20√1-0.0156
y=20*0.9922
y=19.84inches
Its basically 6 times 96 I think
hope this helps ;)
Answer: 28 in
Step-by-step explanation:
To find the perimeter we need to add all the sides
4 in + 6 in + 5 in + 6 in + 2 in + 5 in
28 in
