Answer:
B. 20x^4-39x^3+26x^2-6x
Step-by-step explanation:
(5x^2-6x+2)*(4x^2-3x)
20x^4 -15x^3 -24x^3 + 18 x^2 +8x^2 - 6x
20x^4 -39x^3 + 26x^2 - 6x
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:
true, refer to picture for more understanding :)
0.77875...
which, I'm assuming, they want you to round to the nearest hundredth? So, .78?...
Answer:
1:2
Step-by-step explanation:
There are 12 total puppies. To find the number of black puppies, we have to subtract the yellow from the total. So:
12 - 8 = 4
There are 4 black puppies. Now we put the black puppies in ratio to yellow puppies:
4:8
Then simplify (divide both sides by 4):
1:2