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Amiraneli [1.4K]
3 years ago
13

On what interval is the function f(x)=x^3-4x^2+5x concave upward?

Mathematics
1 answer:
taurus [48]3 years ago
3 0
Calculus 1?

To find concavity you must take the second derivative.  

As you would to find your local maximums and minimums (critical points) in the first derivative by setting y' = 0, to find points of inflection you set acceleration, y" = 0.  

Now that you know where the point in which the function is neither concave up or concave down (at the points of inflection) plug x-values between them into the second derivative for x.  If y" is positive between those particular points will be concave up and if y" is negative it will be concave down between that interval.

For a better understanding you might find a good video on Youtube explaining this if you search "Points of Inflections" or "Concavity of a function".

Cheers.
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when coloring in a grid to show a fraction, what does 3/10 look like when the grid represents a whole
Katarina [22]

Answer:

3 of 10 grid squares making up the whole will be colored.

Step-by-step explanation:

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5 0
2 years ago
Allan borrows 1870 dollars from his uncle. Two years later, he borrows another 1240 dollars. If his uncle charges him 8 percent
Anna11 [10]
For t=0
<span>Allan borrows--------------------------- > 1870 dollars

for t=6 years
</span>F1 = P*(1 +(r/m))^n
i=r/m
n=m*t---------- >1*6=6
we have
P1=1870
r=8%
m=1
t=6 years
F1 = 1870*(1 +(0.08/1))^6------------------ >2967.45 dollars

for t=2
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for t=6 years
F2 = P2*(1 +(r/m))^n
i=r/m
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3 0
3 years ago
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Hopefully this helped
5 0
2 years ago
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