Answer:
<u>7</u>
Step-by-step explanation:
The sides are in proportion.
- 35/? = 20/4
- 35/? = 5
- ? = 35/5
- ? = <u>7</u>
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
1/3 (3y - 6) = 8
distribute: y - 2 = 8
add 2 to both sides: y = 10
10
It moves in a horizontal line. Its 'y value' does not change.
Pi r^2 h
Divide 10 by 2 to get the radius.
pi 5^2 9
pi 25 9
225 pi is the answer
