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:
Not a solution.
Step-by-step explanation:
Step 1: Write inequality
r + 4 > 8
Step 2: Solve for <em>r</em>
- Subtract 4 on both sides: r > 4
Step 3: Determine
r = 2
2 > 4 = FALSE
Answer:
146 people
Step-by-step explanation:
The formula for mean = sum of values/number of values
For Monday to Friday , the average number of people that came = 98
Hence, the total number of people that came is calculated as:
Number of people that attended Monday to Friday = 98 × 5 = 490 people
The number of people that came on Saturday = 162 people
The mean average for the whole week is 114.
The number of days in a week = 7 days
The number of people that came in on Sunday is represented = x
Therefore,
490 + 162 + x/7 = 114
Cross Multiply
652 + x = 798
x = 798 - 652
x = 146 people
Therefore, 146 people visited on Sunday
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