The number of bugs, M(x) in millions in a certain area depends on June rainfall, x in inches. The function that models this is M(x)=18x-x^2. Find the amount of rainfall that will maximize the number of bugs. AND What is the max number of bugs?
A toy rocke is launched from a building 139 ft tall. The velocity is 220 ft per second. What is the function that describes the height of the rocket in terms of t is s(t).
--- Determine the time at which the rocket reaches its maximum height and maximum height in feet.
----For what time interval will the rocket be more than 161 ft about the ground?
----After how many seconds will it hit the ground?
LAST QUESTION:
A piece of sheet metal is 2.8 times as long as it is wide, it is made into a box with an opening by cutting 3 inch squares from each corner and folding the sides upward. What is the length of the original piece of sheet metal in terms of x.
A toy rocke is launched from a building 139 ft tall. The velocity is 220 ft per second. What is the function that describes the height of the rocket in terms of t is s(t).
--- Determine the time at which the rocket reaches its maximum height and maximum height in feet.
----For what time interval will the rocket be more than 161 ft about the ground?
----After how many seconds will it hit the ground?
LAST QUESTION:
A piece of sheet metal is 2.8 times as long as it is wide, it is made into a box with an opening by cutting 3 inch squares from each corner and folding the sides upward. What is the length of the original piece of sheet metal in terms of x.
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max of M(x) is a inflection point.
for give x value of a inflection point have which calculate the point where the derivative is null.
dM/dx = 18 - 2x
dM/dx = 0 --> 18-2x=0 -> 2x = 18 -> x =9
M(9) = max(M) = 18*9 - 9² = 81
for give x value of a inflection point have which calculate the point where the derivative is null.
dM/dx = 18 - 2x
dM/dx = 0 --> 18-2x=0 -> 2x = 18 -> x =9
M(9) = max(M) = 18*9 - 9² = 81