Question

Miguel is designing shipping boxes that are rectangular prisms. the shape of one box with height h in feet has a volume defined by the function V(h)=h(h-10)(h-8) what is the domain 0 12 years ago

Answer 1

V(h) = h(h - 10)(h - 8)
V(h) = h^3 - 18h^2 + 80h
0 = 3h^2 - 36h + 80

when you use the quadratic formula you get
h = 2.9449495367
--or--
h = 9.0550504633

Answer 2

V''(h) = 6h - 36

Answer 3

V''(2.9449495367) = -18.33
V''(9.0550504633) = 18.33

Answer 4

the maximum volume occurs at h=2.9449495367.
Stick that into V(h) and you get: V(2.9449495367) = 105.0276
your answer would be 105ft^3

Answer 5

okay!

Answer 6

let me know your score ( :

Answer 7

thank you sooo much!

Answer 8

100%

Answer 9

You're welcome !

Answer 10

if i need help again can i ask you? if you are online.

Answer 11

Yep, I'll be on tomorrow. what time is it where you live ?

Answer 12

10:23 pm

Answer 13

Lol true. It's 11:23pm here

Answer 14

lol thanks again!

Answer 15

Yep. if you need help tomorrow just @ me

Answer 16

i might be on tomorrow not sure yet! your awesome! alright good night!

Answer 17

Night

Answer 18

TYSM ^^