Whooh
SA=4pir²
take derivitive
dSA/dt=8pir dr/dt
and do the volume as well
V=(4/3)pir³
dV/dt=4pir² dr/dt
we need to solve for dV/dt
to do taht we need dr/dt
so
dSA/dt=8pir dr/dt
given dSA/dt=3pi cm/sec
r=2
3pi=8pi2 dr/dt
3=16 dr/dt
3/16=dr/dt
now do the volume
dV/dt=4pir² dr/dt
r=2
dr/dt=3/16
dV/dt=4pi2² (3/16)
dV/dt=16pi(3/16)
dV/dt=3pi
nice
the volume of the sphere is decreasing at 3pi cm/sec as well
Answer:
3:1:5
Step-by-step explanation:
Divide the values by £1.40
Answer:
504
Step-by-step explanation:
There are 9 unique letters in the word trapezoid. Assuming no letters can be repeated, and that the order of the letters matters, there are 9 options for the first letter, 8 options for the second letter, and 7 options for the third letter.
The number of different arrangements is 9 × 8 × 7 = 504.
Answer:
So, the volume V is
![V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
Step-by-step explanation:
We have that:
![y=7x\\\\y=0\\\\x=1\\\\x=-4\\](https://tex.z-dn.net/?f=y%3D7x%5C%5C%5C%5Cy%3D0%5C%5C%5C%5Cx%3D1%5C%5C%5C%5Cx%3D-4%5C%5C)
We have the formula:
![V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\g(x)>f(x).](https://tex.z-dn.net/?f=V%3D2%5Cpi%5Cint_a%5Eb%20x%28g%28x%29-f%28x%29%29%5C%2C%20dx%5C%5C%5C%5Cg%28x%29%3Ef%28x%29.)
We calculate the volume V, we get
![V=2\pi\int_a^b x(g(x)-f(x))\, dx\\\\V=2\pi\int_0^1 x(7x-0)\, dx\\\\V=2\pi\int_0^1 7x^2\, dx\\\\V=2\pi\cdot 7\left[\frac{x^3}{3}\right]_0^1\\\\V=14\pi\left(\frac{1}{3}-\frac{0}{3}\right)\\\\V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D2%5Cpi%5Cint_a%5Eb%20x%28g%28x%29-f%28x%29%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%20x%287x-0%29%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Cint_0%5E1%207x%5E2%5C%2C%20dx%5C%5C%5C%5CV%3D2%5Cpi%5Ccdot%207%5Cleft%5B%5Cfrac%7Bx%5E3%7D%7B3%7D%5Cright%5D_0%5E1%5C%5C%5C%5CV%3D14%5Cpi%5Cleft%28%5Cfrac%7B1%7D%7B3%7D-%5Cfrac%7B0%7D%7B3%7D%5Cright%29%5C%5C%5C%5CV%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
So, the volume V is
![V=\frac{14\pi}{3}](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B14%5Cpi%7D%7B3%7D)
We use software to draw the graph.
Answer:
This is the graph of a <u>parabolic</u> function.
- Without seeing the dropdown menu, I assume that is what the question is asking. It's parabolic: the shape is like an upside-down u or an upside-down v.
Michael Jordan's hang time is <u>.9</u> seconds.
- The parabola starts at 0 seconds, and ends at t = .9 seconds.
The maximum height is about <u>1</u> meter.
- The vertex or very top of the parabola is at h = 1.
For t between t = .5 and t = 1, the height is <u>decreasing/falling/going down.</u>
- I can't tell this one for sure unless I can see the dropdowns. But I can say that from .5 to 1, whatever it is, it's dropping or falling, because the height is getting less and less.