Answer:
Step-by-step explanation:
a1=2/3
sequence is 2/3,3/4,4/5,...
for numerator a1=2
d=3-2=1
numerator of nth term=a1+(n-1)d=2+(n-1)×1=2+n-1=n+1
denominator = 1 more than numerator=n+1+1=n+2
so an=(n+1)/(n+2)
or for denominator a1=3,d=4-3=1
denominator of nth term=3+(n-1)×1=3+n-1=n+2
an=(n+1)/(n+2)
Answer:
Volume of Cone =
![= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3](https://tex.z-dn.net/?f=%3D%20%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%282%29%5E2%20%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%284%29%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%203.14%5Ctimes%2016%20%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes50.24%5C%5C%5C%5C%3D16.746%5C%5C%5C%5C%5Capprox16.75%20%5Ctexttt%20%7Bft%7D%20%5E3)
Thus, Volume = 16.75 cubic feet
Step-by-step explanation:
Volume of a cone is given by the formula
![V=\frac{1}{3}\pi r^2 h](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h)
Where r is the radius and
h is the height
Given radius r = 2 and
height is 2 times that.
So height is 2*2 = 4
Plugging these into the formula we get:
Volume of Cone =
![= \frac{1}{3}\pi (2)^2 (4)\\\\=\frac{1}{3}(3.14)(4)(4)\\\\=\frac{1}{3}\times 3.14\times 16 \\\\=\frac{1}{3}\times50.24\\\\=16.746\\\\\approx16.75 \texttt {ft} ^3](https://tex.z-dn.net/?f=%3D%20%20%5Cfrac%7B1%7D%7B3%7D%5Cpi%20%282%29%5E2%20%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%283.14%29%284%29%284%29%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%203.14%5Ctimes%2016%20%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes50.24%5C%5C%5C%5C%3D16.746%5C%5C%5C%5C%5Capprox16.75%20%5Ctexttt%20%7Bft%7D%20%5E3)
Thus, Volume = 16.75 cubic feet
Answer:
Step-by-step explanation: your going to find the y intercept
find the domain
find the inverse
find the derivative
find the extrema
find the horizontal asymptotes
tell weather its even or odd
but its X=0
Answer:
The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters. When does the object strike the ground.
Step-by-step explanation: