Answer:
r = 5.848cm, h = 11.696cm
Step-by-step explanation:
Surface area: 
Volume: 
Therefore, the height of a cylinder given its volume would be 
, thus:
We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:
If ![0If [tex]r>5.848](https://tex.z-dn.net/?f=0If%20%5Btex%5Dr%3E5.848)
, then the surface area of the cylinder increases
Therefore, the surface area is minimized when the radius is 
, making the minimum height 
.
In conclusion, the 2nd option is correct.
Answer:
A=lw+l(w
2)2+h2+w(l
2)2+h2
Step-by-step explanation:
Answer:
This is not a function, because the output is paired with more than one input. In other words, 8 is paired with both 4 and 3, even though output numbers are only supposed to have one counterpart.
Step-by-step explanation:
Hope this makes sense :)
<span>h = -8t² + 40t
dh/dt = 0
⇒ d/dt(</span><span>-8t² + 40t) = 0
⇒ -16t + 40 = 0
⇒ 16t = 40
⇒ t = 40/16 = 2.5s
So it takes 2.5 seconds to reach highest point
h = -8×2.5² + 40×2.5 = -50 + 100 = 50
Ordered pair: (h,t) = (50,2.5)
</span>
Answer:
(a^8)/(b^9)
Step-by-step explanation:
Two rules of exponents come into play.
(a^b)/(a^c) = a^(b-c)
a^-b = 1/a^b
__
Applying the first rule, we have ...
(a^3)/(a^-5) × (b^-2)/(b^7) = a^(3 -(-5)) × b^(-2 -7) = a^8 × b^-9
Applying the second rule gives the simplified form ...
= (a^8)/(b^9)
