A population of 500 bacteria is introduced into a culture and grow in number according to the equation P(t) = 500(1+4t/50+t^2) what steps did I miss?

P

paperroutedn

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What arithmetic did I miss?

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But why does it equal 31.55?

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I tried to key this in Symbo Lab and Mathway it fives me 15 point something? Why

Thanks
 
Please do not write p'(t) = p'(2). I am sure that you know that p'(2) is a constant and that p'(t) is not a constant so how can they be equal?

Why I grade exams all I do is check equal signs and I assure you that you would have lost a point for that equal sign on my exam.
 
Jomo said:
Please do not write p'(t) = p'(2). I am sure that you know that p'(2) is a constant and that p'(t) is not a constant so how can they be equal?

Why I grade exams all I do is check equal signs and I assure you that you would have lost a point for that equal sign on my exam.
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I actually have no problem with this. You can assert "let t=2" and that's fine. At many points in time during math you have to start asserting that a variable is taking on an actual value. They aren't asserting that t is always 2 but they are asserting that t is currently 2. It seems really harsh to take off a point because you would prefer students only use p(t) when they are talking in the general sense.
 
Jomo said:
Please do not write p'(t) = p'(2). I am sure that you know that p'(2) is a constant and that p'(t) is not a constant so how can they be equal?
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They ARE equal when t=2, which is what they say at the beginning of that sentence. If they hadn't said t=2, you may have had a point.
 
When t=2, p'(t) does not equal p'(2). In my opinion, this is not up for discussion. p'(t) equals one thing while p'(2) equals something else. Equal signs must be valid.
 
Jomo said:
When t=2, p'(t) does not equal p'(2). In my opinion, this is not up for discussion. p'(t) equals one thing while p'(2) equals something else. Equal signs must be valid.
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With all due respect, I think it is up for discussion.
Do you agree with the following statement:
When t=2, t + 3 = 5 ? Surely that is true. Isn't it the same idea?
 
Harry_the_cat said:
With all due respect, I think it is up for discussion.
Do you agree with the following statement:
When t=2, t + 3 = 5 ? Surely that is true. Isn't it the same idea?
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I was wrong to say that this was not up for discussion. Sorry about that.
I have to think about this. Your point is well taken. I guess that you made the same point in your earlier post.
Edit: I thought about it and you are correct! That's one for the cat. Say that t=2 at the start does say a lot! Thanks for changing my mind!
 
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