F(1) = -2 because the x intercept is 1 and the y intercept is -2
Step-by-step explanation:
A Maclaurin series is a Taylor series that's centered at 0.
f(x) = ∑ₙ₌₀°° f⁽ⁿ⁾(0) / n! xⁿ
If we substitute f⁽ⁿ⁾(0) = (n + 1)!:
f(x) = ∑ₙ₌₀°° (n + 1)! / n! xⁿ
f(x) = ∑ₙ₌₀°° (n + 1) xⁿ
Use ratio test to find the radius of convergence.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(n + 2) xⁿ⁺¹] / [(n + 1) xⁿ]│< 1
lim(n→∞)│(n + 2) x / (n + 1)│< 1
│x│< 1
R = 1
You would take cubic root of both sides.
6³ = 216 so ∛216 = 6
So side length would be 6 <span>centimeters
</span>
Final answer: 6 cm
Answer:
Step-by-step explanation:
First we need to find the slope of the line. We can plug in both coordinates in to the slope formula.
The slope formula is:
So I will use (-3,4) as the first coordinate, and (7,-1) as the second coordinate.
x₁ = -3
y₁ = 4
x₂ = 7
y₂= -1
I will plug in these values to find the slope.
Now that we know the slope is -1/2, we can plug in the slope and a point into the point slope equation. Then we can solve for y.
I have attached an image of what this graph should look like. Since the slope is -1/2, the y value should decrease by 1/2 every time you move over by 1 on the x axis. And since the equation says "+5/2" we know we have to shift the graph up by 5/2. The y-intercept will be 5/2.
I added another image that shows how to graph an equation using the equation y=mx+b
Answer:
The Bengal tiger is a tiger from a specific population of the Panthera tigris tigris subspecies that is native to the Indian subcontinent.[3] It is threatened by poaching, loss, and fragmentation of habitat, and was estimated at comprising fewer than 2,500 wild individuals by 2011. None of the Tiger Conservation Landscapes within its range is considered large enough to support an effective population of more than 250 adult individuals.[1] India's tiger population was estimated at 1,706–1,909 individuals in 2010.[4] By 2018, the population had increased to an estimated 2,603–3,346 individuals.[5] Around 300–500 tigers are estimated in Bangladesh, 220–274 tigers in Nepal and 103 tigers in Bhutan.[1][6][7]Kingdom:
Animalia
Phylum:Chordata
Class:Mammalia
Order:Carnivora
Suborder:Feliformia
Family:Felidae
Subfamily:Pantherina
Genus:Panthera
Species:P. tigris
Subspecies:P. t. tigris
