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: (x, y) to (x - 3, y - 4)
Step-by-step explanation: i guessed
12√18-6√20-3√50-8√45
<em>*Break each radical up into the product of a radical of a perfect square and a second radical*</em>
12(√9*√2)-6(√4*√5)-3(√25*√2)-8(√9*√5)
<em>*Simplify the radicals*</em>
12(3√2)-6(2√5)-3(5√2)-8(3√5)
<em>*Distribute*</em>
36√2-12√5-15√2-24√5
<em>*Combine like terms</em>*
21√2-36√5
Hope this helps!!
Answer:
This is not a question.
Step-by-step explanation:
The "compound amount" formula is A = P(1+r)^t.
Here, the Amount A(x) is (x)(1+0.03)^1= 1.03x.
Please be clearer about what you are asking here. I assume you just wanted to be told that you are right.
