anonymous
  • anonymous
A person scores f(x) = 90/1 + 4e^-0.4t points on a test after t hours of studying. What does the person score without studying at all? Compute f’(0) and estimate how many points 1 hours of studying will add to the score.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
This is what I did but my teacher said it was wrong she said ( Find f' and f'(0).) F(x) = 90/ 1 + 4e^-0.4t F(0) = 90/ 1 + 4e^-0.4(0) = 18 F(1) = 90/1 + 4e^-0.4(1) = 24.45 So comparing the scote at f(1) and f(0) where at f(1) studying for 1 hour and f(0) studying none. F(1) - f(0)/24.45 – 18 = 6.45 points
anonymous
  • anonymous
Should this have parenteses or not? Is this F(x) = 90/ (1 + 4e^-0.4t )?
anonymous
  • anonymous
yes prenthesis

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anonymous
  • anonymous
like this \[\frac{ 9 }{ 1 + 4e ^{-0.4t}}\]
anonymous
  • anonymous
Your teacher specifically said to differentiate?
anonymous
  • anonymous
yes
anonymous
  • anonymous
she said to Find f' and f'(0)
anonymous
  • anonymous
@EulersEquation so do you know how?
anonymous
  • anonymous
@Numb3r1 can u help?
anonymous
  • anonymous
Yes. I need to review this. First glance is to use the quotient rule. Do you know how to use the quotient rule? Someone else may want to take a look. I am in the middle of helping someone else. When I finish I'll get on it.
anonymous
  • anonymous
ok
anonymous
  • anonymous
Ha! I am terrible at arithmetic. On first run I get a negative number for f'(0). You cannot make a negative score on a test! Unless the teacher doesn't like you. I am rusty on this. I'll work on it some more. In the meantime, bump the problem and hopefully someone else will tackle this.
anonymous
  • anonymous
okay
anonymous
  • anonymous
@waterineyes
anonymous
  • anonymous
Just want to take derivative of that??
anonymous
  • anonymous
yes Find f' and f'(0)
anonymous
  • anonymous
It will come out to be negative..
anonymous
  • anonymous
what will come out? so what i did above is wrong or?
anonymous
  • anonymous
Wait, let we do it first..
anonymous
  • anonymous
\[\frac{ 90 }{ 1 + 4e ^{-0.4t}} = \frac{ -(90)(-1.6 \cdot e^{-0.4t}) }{ (1 + 4e ^{-0.4t})^2}\]
anonymous
  • anonymous
It will become positive now.. :)
anonymous
  • anonymous
okay
anonymous
  • anonymous
Yeah. I don't see why it has to be differentiated -- not according to the question.
anonymous
  • anonymous
Am I right in this?
anonymous
  • anonymous
Ah! I forgot to square the denominator!
anonymous
  • anonymous
That looks good.
anonymous
  • anonymous
okay thanks!
anonymous
  • anonymous
So you can now find f'(0) by putting 0 as value of t..
anonymous
  • anonymous
okay
anonymous
  • anonymous
@onegirl can you go for that?
anonymous
  • anonymous
just plug in 0 and solve right?
anonymous
  • anonymous
Yep, just simple calculations with calculator..
anonymous
  • anonymous
okay yes i can
anonymous
  • anonymous
Good.. Keep it up..
anonymous
  • anonymous
i got 0 after i solved

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