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.
 
        
             
        
        
        
We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75: 
 . .
 . .
 does not exist as does not exist as . .
<h3>How to determinate the limit in a piecewise function</h3>
In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.  
According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:
 . .
 . .
 does not exist as does not exist as . .
To learn more on piecewise function: brainly.com/question/12561612
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Answer:
The answer to your question is letter A (2/3)
Step-by-step explanation:
Formula
tangent Ф = 
For A
opposite side = 2
adjacent side = 3
Substitution
tan Ф = 
Result
tan Ф = 
 
        
                    
             
        
        
        
Answer:
-2 is a solution 
Step-by-step explanation:
-2-5<8
-7<8
 
        
             
        
        
        
Answer:
-10
Step-by-step explanation:
-5(2) - 4(-1) - 8 +2(2)