Question

If S'(t) = 30t^1/2, S(0) = 22000 and S(t) = 41000, find t.

my answer choices are 107, 161, 97, 102

Answer 1

hmmmm shld i give the answer away again?

Answer 2

hahahahah

Answer 3

yes yes yes you should!

Answer 4

you are so smart

Answer 5

hahaha

Answer 6

Make an educational guess first.

Answer 7

I found 161 but I do not think it is right

Answer 8

haha my equation was wrong give me one more sec

Answer 9

Can you write the original function s(t)

Answer 10

I think my original function is off..

Answer 11

Can you write it. I can tell you if it's off or not.

Answer 12

wait sorry bat that i am back

Answer 13

S(t)= 30x^2

Answer 14

its all good! Im just re working it on paper trying to see where i went wrong

Answer 15

You are suppose to integrate s'(t)

Answer 16

no S(t)=20x^(3/2)+22000

Answer 17

S(t)=30x^3/2
like that?

Answer 18

@samjordon The problem is that he doesn't know how to integrate. Don't just show him the function explain the steps.

Answer 19

oh okay I see what I did wrong, so my equation is 20x^(3/2) +22000

Answer 20

@taffytwink Do you know how we get that from S'(t) = 30t^1/2?

Answer 21

yea cause 30/(3/2) = 20 and that leaves me with the integral of 30t^1/2

Answer 22

I get how to come up with the equation but what do I do with the 41000

Answer 23

The ingetral will give you 20t^3/2 + B
where B is just a constant. You solve for B by using the function s(0)=22000. This gives you B=22000
After that you have S(t)=20t^(3/2)+22000

we are now trying to find what t is when s(t)=41000 just replace it

41000=20t^(3/2)+22000

Now you have an equation with one unknown t solve for t

Answer 24

yes sorry guys my mom was driving me crazy but i am back

Answer 25

OHHHH okay

Answer 26

lemme work it out

Answer 27

nah he is in business calc he isnt in hswe can give away the answer

Answer 28

haha i agree with @samjordon

Answer 29

im calculating it right now

Answer 30

What? Anyways you need to practice integrations. You mest up the integration. You didn't know how to solve for t after finding s(t).

Just practice on easier problems and you will get the hang of it.

Answer 31

yea thank you so much for breaking it down for me, medal worthy acquaintance

Answer 32

I got 97 but it wasnt exact, did I do it wrong?

Answer 33

the answer is 97

Answer 34

i gota that tooo

Answer 35

YES sweet thank you so much

Answer 36

not a problem

Answer 37

im about to post another

Answer 38

hmmm someone is posting the similar questions as uand is on ur post hmmmm interesting

Answer 39

hahaa me and my buddy are trying to do this together

Answer 40

we go to school together

Answer 41

hahaha my assumption is correct

Answer 42

Haha we're doing our homework together and our teacher is a joke. Would you mind taking a look at the question I posted? @samjordon