Question 2:

Medium

An architect is designing a building in the shape of a rectangular parallelepiped and wants to maximize the area of the base of the building, considering that the total volume of the building cannot exceed 18000 m³. The length of the base of the building is always twice the width. Based on this information, what should be the measurement of the width of the base of the building for the area to be maximized?

Teachy originals

Question 3:

Medium

A rocket was launched into space and its height h in relation to time t is given by the quadratic function h(t) = -16t² + 64t + 80, where the height h is measured in feet and the time t in seconds. What is the maximum height that the rocket reaches and at what moment does this happen?

Teachy originals

Question 5:

Medium

A metal bridge, in the shape of a parabolic arch, will be built. Its support will be made with six metal suspensions, three on each side, 30 meters apart from each other, as shown in the figure below. Knowing that the bridge is 40 meters high, how many meters of suspensions will be necessary for the construction of this bridge?

Source: CMRJ

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