Solve for the variable in the following equation.
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<u>Answer: </u>
The volume of pyramid with dimensions 4cm , 4cm by 12cm is
<u>Solution: </u>
Volume of a pyramid can be found out by using the below formula,
where,
v is the volume of pyramid
l is the length of pyramid
w is the width of pyramid
h is the height of pyramid
from question, given that l = 4 ; w = 4; h = 12
hence the volume of pyramid for the given dimensions is
So the volume of pyramid is
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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