Answer:
Step-by-step explanation:
420 = 1/4 so 4/4 is 4 420s
420 x 4 = 1680
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.
Step-by-step explanation:
area = ( base 1 + base 2 ) ÷ 2 x height
50 = ( 10 + 15) ÷2 x height
50 ÷ 12.5 = height
height = 4
Answer:
=0.3 per km²
Step-by-step explanation:
Population density is the population per uni area.
Area=πr² Where A is area and r is the radius of the circle.
A=3.14×34
=106.76km²
Population density = Population/Area
=32 antelopes/106.76 km²
=0.3 per km²
The population of antelopes within the given radius is 0.3 per km²
30 times 86 equals 2580 and 4 times 86 equals 344 add those together and you get 2924
