Answer: The answer is the 3rd one
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.
<h3>Answer:</h3>
The Second one {(-8,-7), (4,-2), (2,9), (-8,8)}
<h3 /><h3>
Step-by-step explanation:</h3>
A function only gives ONE out put for a given value. But the second set has two outputs if we input -8, it gives you -7 and 8 so this must not be a function.
Answer: 40
Step-by-step explanation: If she made 4 baskets in a half an hour then one hour she would make 8 in one hour and in 2 hours she would make 16 because 8 hours from the first hour and 8 more from the second hour. Because there is 1 hour and in the hour she made 8 if she needs 5 hours just multiply 8 by 5. That would give you 40.
Answer:
The solutions for the equation 
are 
.
Step-by-step explanation:
To find the solutions for the equation you must:
