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The airplane reaches its maximum height of 81 feet in 12 seconds.
<h3>Behavior of curves</h3>
If y =
, it means that the second derivate is 2 which is positive, then there is a minimum turning point.
If y = -
, it means that the second derivative will be -2 which is negative, then there is a maximum turning point.
Analysis:
h(t) = -
+ 81
By expanding,
h(t) = -(
- 24t + 144) +81
h(t) = -
+ 24t - 144 + 81
h(t) = -
+ 24t - 63
at turning point d/dt(h(t)) = 0
d/dt (h(t)) = -2t +24
-2t +24 = 0
if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.
2t = 24
t = 12 seconds
h(t) at t = 12
h(t) =
+ 24(12) - 63 = 81 feet
In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.
Learn more about minimum and maximum points: brainly.com/question/14993153
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Answer:
09
Step-by-step explanation:
dkdkdinddkkddksnndkeke
Well the slope will be 3 and the y intercept will be -15
The given series is

Where the first term, a , is 3.
And the difference is constant, that is

So the constant difference, d is 3.
Since the difference is constant, so the given series is arthmetic.
And for explicit rule, we use the formula of nth term, which is

Substituting the values of a and d, we will get

Recursive rule is used to tell us the relationship between previous and current term. And the required rule is
