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:
Step-by-step explanation:
The formula is y = mx + b
m being the slope, rise over run. And b being the y-intercept. Right off the bat we can visually see the y-intercept is -4.
To find slope, we need to take two sets of coords and apply the slope fomula. The slope fomula is change in y divided by the change in x. The function itself is straight, so that means the slope will be the exact same no matter which points you choose.
(4, -1) and (8, 2) are coords on the line. Do 2 - (-1) to get 3. then do 8 - 4 to get 4. Finally, we just gotta do 3/4 which is simply 
.
We have the slope of 3/4 and we have the y-intercept of -4. Just plug it in the standard formula of y = mx + b to get:
Given :-
sam and Bethan shareare in the ratio 5:4 respectively.
Total no of money is = 54ÂŁ
Solution :-
Let Sams share is be x ie = 5
Let Bethans share be y ie = 4
Total no of share is = 9
Therefore the persons share is (particular persons share / total no of share) *
total value of money
Ans : -
Therefore sams share x is = (5/9)* 54 =30ÂŁ
Therefore Bethans share y is = (4/9) * 54 = 24ÂŁ
The answer is
200%Why? --- A change from 12 to 36 represents a positive change (increase) of 200%
Use the formula found below on this webpage to find the percent change by replacing the given values:
Percent change = [(12 - 36) / 12] x 100 = 200 % (increase)
Where: 12 is the old value and 36 is the new value. In this case we have a positive change (increase) of 200 percent because the new value is greater than the old value.
Hope this helps. :)
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Anonymous
