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:
x= 0 , y= -8
Step-by-step explanation:
Add the 2 equations together, you would get:
9x = 0
Divide both sides by 9:
x = 0/9
x=0
Substitute the value of x in one of the equations to get the value of y, I picked the first one (5x+2y = -16)
5(0) +2y = -16
0+2y = -16
2y = -16
Divide both sides by 2:
y = -8
The hypotenuse is twice the short leg. The answer is 8
Answer:
2/3 and 3/2
Step-by-step explanation:
:) mark me brainliest
5/3x = ? ; where x = 90
90/1 times 5/3
cross simplification
now it's 30/1 times 5/1 i divided the numerator of the first fraction and the denominator of the second fraction by 3
now it is 5 times 30
so... 5/3 of a 90 degree angle is 150 degrees
