NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by
The sea level is represented by h = 0, therefore, to find the corresponding time when h splashes into the ocean we have to solve for t the following equation:
Using the quadratic formula, the solution for our problem is
The rocket splashes after 26.845 seconds.
The maximum of this function happens at the root of the derivative. Differentiating our function, we have
The root is
Then, the maximum height is
1029.99 meters above sea level.
Answer: 78
Step-by-step explanation: typed it into a calculator
Answer:B
Step-by-step explanation:
B is has a proportional x and y value because they're increasing at the same rate which is 0
Answer: A RECTANGLE ( It has four sides, its opposite sides are congruent and all its angles measure 90 degrees)
Step-by-step explanation:
For this exercise it is important to remember the definition of a "Cross section".
In Geometry a "Cross section" is defined as that shape obtained when a three-dimensional figure is sliced by a plane.
In this case, according to the information given in the exercise, the cheese block has the shape of a cylinder. This is the three-dimensional figure.
Observe in the picture attached in the exercise that the cylinder-shaped cheese block is cut through perpendicular to its base.
By definition, when this perpendicular cut happens, the shape obtained is a Quadrilateral which has four equal angles that measure 90 degrees and whosepposite sides are parallel have equal length.
Therefore, you can conclude that the two-dimensional cross section that would be created by slicing the cylinder-shaped cheese block perpendicular to its base,is: A RECTANGLE.
