PART A:
x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 |
y | 6 | 5.5 | 5 | 4.5 | 4 | 3.5 | 3 | 2.5 | 2 | 1.5 | 1 | 0.5 | 0 |
x=hours
y=candle length
PART B:
Yes it is a function because you can input the values
PART C:
Yes, it will still be a function but with a different different y value
I uploaded the answer to a file hosting. Here's link:
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ly/3a8Nt8n
Answer:15
Step-by-step explanation:
<span>"Find the value of the derivative (if it exists) at each indicated extremum. To solve this, apply derivatives in calculus.
f (x) = cos(πx/2)
the first derivative is the change at the indicated extremum
f'(x) = -</span>π/2sin(πx/2)
Bacteria population increases by 9.8% per hour.
Population = (1.098)^hours
Solving this for time we get:<span>
</span><span>
</span><span>Time = log(ending amount / beginning amount) ÷ log (1 + rate)</span>
<span />
Since we must solve the problem for the population to double, we'll say
beginning amount = 100 and ending amount = 200
Time = log(200 / 100) ÷ log (1 + .098)
Time = log(2) ÷ log (1.098)
Time = 0.30102999566 / 0.040602340114
Time =
<span>
<span>
<span>
7.4141045766 Hours </span></span></span>
<span><span><span /></span></span>Time = 7.41 Hours (rounded to nearest hundredth.
Source:
http://www.1728.org/expgrwth.htm
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