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:
100 is the median for te above observations
<h2><em><u>HOPE</u></em><em><u> </u></em><em><u>IT</u></em><em><u> </u></em><em><u>HELPED</u></em><em><u> </u></em></h2>
Answer:
408
Step-by-step explanation:
Volume = length times width times height
So in this situation we can see that 17 is the length, 8 is the width, and 6 is the height
Knowing this information we can continue
If you think of a regular cube, you can split it diagonally and then it would be 2 triangles
So we can split the width, in halve which would be 4 and then apply the formula 4*6*17 and when you solve that you get 408 Now we have to split that in halve because remember it is a triangle and a triangle is halve of a square. Halve of 408 is 204.
If we repeat that prosses for the other side we will also get 204. Now we add 204+204 to get our answer 408.
Sorry is this was a little confusing but that's the best I can explain it.
Hope that helped and have a great day!
Step-by-step explanation:
Answer:
Add all of them together. 1/5 + 2/4 + 4/3 + 3/2 = 53/15 miles
Step-by-step explanation:
1/5 + 2(1/4) + 4(1/3) + 3(1/2)