X^2 + 8x + 16 =
(x + 4)(x + 4) or (x + 4)^2
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:
(1,4) ( 4,1) (2,3) (3,2)
Step-by-step explanation:
Multiples of 5 = 5 and 10
Ways to roll a 5 = (1,4) ( 4,1) (2,3) (3,2)
Ways to roll a 10 = (5,5) (4,6) (6,4)
We have 7 possible outcomes for a multiple of 5...and there are 36 possible outcomes in total
So P (multiple of 5) = 7 / 36
Answer:
B, C
Step-by-step explanation:
graph the following lines with negative slopes and compare:
y = -x + 1
y = -20x + 2
