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
From experience, you do not always increse the ingredients proportinally or else you will get some srprise
but this rpblem assumes that
basically
since 2 and 1/3 increased to 7
we have to increase flour also
by how much?
2 and 1/3 times how many=7
7/3 times what=7
multpily both sides by 3/7 to clea fraction
what=21/7
what=3 times
so flour has to increase by 3 time aslso
2=orignal flour
2*3=6
flowur is now 6
B
another way is
(2 and 1/3)/7=2/x
solve for x
B is anser
Step-by-step explanation:
x⁴(4x+1)
4x⁵+x⁴
degree is 5
