Answer:
x₂ = 7.9156
Step-by-step explanation:
Given the function ln(x)=10-x with initial value x₀ = 9, we are to find the second approximation value x₂ using the Newton's method. According to Newtons method xₙ₊₁ = xₙ - f(xₙ)/f'(xₙ)
If f(x) = ln(x)+x-10
f'(x) = 1/x + 1
f(9) = ln9+9-10
f(9) = ln9- 1
f(9) = 2.1972 - 1
f(9) = 1.1972
f'(9) = 1/9 + 1
f'(9) = 10/9
f'(9) = 1.1111
x₁ = x₀ - f(x₀)/f'(x₀)
x₁ = 9 - 1.1972/1.1111
x₁ = 9 - 1.0775
x₁ = 7.9225
x₂ = x₁ - f(x₁)/f'(x₁)
x₂ = 7.9225 - f(7.9225)/f'(7.9225)
f(7.9225) = ln7.9225 + 7.9225 -10
f(7.9225) = 2.0697 + 7.9225 -10
f(7.9225) = 0.0078
f'(7.9225) = 1/7.9225 + 1
f'(7.9225) = 0.1262+1
f'(7.9225) = 1.1262
x₂ = 7.9225 - 0.0078/1.1262
x₂ = 7.9225 - 0.006926
x₂ = 7.9156
<em>Hence the approximate value of x₂ is 7.9156</em>
Y=x+25 has the biggest increase so i think its B
Answer: 200 square units
Step-by-step explanation:
first you think what 60/3 is and you get 20
then you multiply 20x20 and get 400
then you divide by 2 because to find the area of a triangle you use the formula (lxh)/2
<u>Complete Question:</u>
Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. Which quantity depends on the other?
A. The distance traveled depends on the number of hours traveled.
B. The number of hours traveled depends on the speed of the train.
C. The speed of the train depends on the distance traveled.
D. The speed of the train depends on the number of hours traveled.
<u>Answer:</u>
Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. The distance traveled depends on the number of hours traveled
<u>Step-by-step explanation:</u>
As we know the velocity can de defined as the rate of change of position of objects in a particular time. The formula is given by,

Here, in the question, rate of speed of train is given as 45 miles per hour. if we keep the velocity as constant one, then distance is directly proportionate to the travelled time

If 'v' is constant,

By this we can conclude that, the distance travelled by the train depends on the time taken to travel to it. Hence option A would be the correct one.