Question

Can some one please check my answer

Answer 1

@Loser66 can you check my answer

Answer 2

You didn't answer the question, so we cannot "check" it.

Answer 3

I got A and B for choices

Answer 4

Can you explain why you chose A and B?

Answer 5

um no not really I sort of just guessed cause I dont know how to do the problem

Answer 6

They are filling the cone with water. will the height of the water go up or go down ?

Answer 7

if you are not sure, get a dixie cup and fill it with water from the faucet. Watch the level of the water carefully and see if it goes up or goes down.

Answer 8

It will go up

Answer 9

now you should know that h'(t) is short for change in height with time
if h'(t)=0 that means the change in height is 0... in other words the height is not changing
what do you think h'(t) < 0 means ? the change in height is negative meaning over time the height is getting smaller.

what does h'(t)> 0 mean ?

Answer 10

getting greater going positive

Answer 11

change in height is h (later time) - h(now)
if h is bigger later on, than it is now, h(later)- h(now) is positive (> 0)

Answer 12

you know the height is going up (getting bigger), so the change in height is positive

can you pick the answer for h'(t) ?

Answer 13

so E is an answer and C is an answer?

Answer 14

E is correct.

h''(t) is trickier. h''(t) is the change in the change in h(t)

when the cone is empty, and you put in some water, the height goes up

but notice it takes only a little bit of water to make the height go up a lot.

near the top of cone where it is wide, that same about of water does not make the height go up as much.

Answer 15

in other words h'(t) at the beginning is bigger than h'(t) at the end
the change in h'(t) is negative. in other words h''(t) < 0

Answer 16

ok is C correct

Answer 17

I think you have to re-read what I posted and think about it a little harder.
If you don't understand it, you can ask a question.

Answer 18

oh ok so then not C and D is the other answer correct?

Answer 19

can you be more clear? not C and D confuses me.

Answer 20

the answer is D not C

Answer 21

any better

Answer 22

I think it is clearer to say the answer is D (if it is D then it can't be C, so no need to say not C)

The final answer is D and E. right?

Answer 23

yes

Answer 24

thanks