Answer:
Step-by-step explanation:
 
        
             
        
        
        
[-3, infinity)
It is greater than or equal to -3 and goes on to infinity
        
                    
             
        
        
        
Answer: 2/3(5+t)+(4z)
Step-by-step explanation:
 
        
             
        
        
        
Answer:
12.5 ft/s
Explanation:
Height of person = 6 ft
height of lamp post = 10 ft
According to the question,
dx / dt = 5 ft/s
Let the rate of tip of the shadow moves away is dy/dt.
According to the diagram
10 / y = 6 / (y - x)
10 y - 10 x = 6 y 
y = 2.5 x
Differentiate both sides with respect to t.
dy / dt = 2.5 dx / dt
dy / dt = 2.5 (5) = 12.5 ft /s
 
        
             
        
        
        
90+(3x-14)+x=180
(3x-14)+x=90
3x+x=104
4x=104
x=26