Answer:
Circumference is 2piR =31.4
Area is pir^2=78.5
Step-by-step explanation:
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>
value of x is: 
Step-by-step explanation:
We need to solve the equation f(x)=g(x)
where 
and 
Solving to find f(x)=g(x)
Putting values of f(x) and g(x)
So, value of x is:
The graph will be a straight line x= -2.58 or x = -31/12
Keywords: Composition of Functions
Learn more about Composition of Functions at:
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There are 4 quarts in on gallon (hence "quart"). So from here it is simple multiplacation. 4 x 7 = 28. So you get 28 quarts of peas.
Answer:
Step-by-step explanation:
equation of a line
y - y1 = m(x -x1)
where (x1, y1) is a point on the line and m is the slope
since it is parallel to the line 3x + y = -7, put in y = mx + b form to find the slope
y = -3x - 7, therefore m = -3
y - 1 = -3(x - 2)
