Answer:
14 
Step-by-step explanation:
F(x)=x⁴-1
f'(x)=4x³
Newton’s Method: x[n+1]=x[n]-f(x[n])/f'(x[n]); x[n+1]=x[n]-(x[n]⁴-1)/4x[n]³
x₁=3.00390625
x₂=2.26215...
x₃=1.7182...
X'=X-(X⁴-1)/4X³=X-X/4+1/4X³ is a symbolic way of writing the recursive formula, where X' represents the next iteration.
When X'≈X, -X/4+1/4X³≈0; so X/4≈1/4X³; X≈1/X³, so X⁴≈1 and X⁴-1≈0. But this is f(x)≈0. Hence Newton’s Method converges to a solution.
The rate of change is x[n+1]-x[n]=-(x[n]⁴-1)/4x[n]³=x[n]/4-1/4x[n]³ or symbolically -X/4+1/4X³.
Note that the method converges to one solution. A different x₀ will possibly converge to the solution x=-1.
Answer:
Step-by-step explanation:
The diameter of the top of the coffee mug which the baker uses to cut out circular cookies from the big sheet of cookie dough is 8 cm.
Radius of the coffee mug is diameter of the coffee mug/2.
Radius of the coffee mug
= 8/2 = 4cm
The area of the circular mug is expressed as
Area = πr^2
Where π is a constant whose value is 3.14
Therefore,
Area of the top of the circular mug = 3.14 × 4^2 = 3.14 × 16 = 50.24 cm^2
The area of the top of the circular cup is the same as the area of each cookie. Therefore,
The area of each cookie is 50.24 cm^2
To get the probability of selecting a person who is a
democrat and is favour to the issue, let us first calculate for the portions in
each party who is favour on the issue.
p (rep & favour) = 0.4 * 0.3 = 0.12
p (dem & favour) = 0.6 * 0.7 = 0.42
Therefore the total portions who are favour is:
p (favour) = 0.12 + 0.42 = 0.54
Hence the probability is:
P (dem & favour) = 0.42 / 0.54 = 0.7778 = 0.78
Therefore there is about 78% probability that the person
selected who is favour to the issue is a democrat.
Step-by-step explanation:
i gonna work this out soon
