Answer:

Step-by-step explanation:
From the question we are told that:
Function given

Co-ordinates
(x,y)=[1, 4]
Generally the second differentiation of function is mathematically given by

Therefore critical point

Generally the substitutions of co-ordinate into function is mathematically given by
For 1

For 4

For critical point 3

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

 
        
                    
             
        
        
        
Answer:
2090
Step-by-step explanation:
0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent
 
        
             
        
        
        
To convert a percent to decimal,  move the decimal place two places to the left.  You get 0.091
        
                    
             
        
        
        
Answer:
2.8 cm
Step-by-step explanation:
The area of a trapezoid is calculated using the formula:

where
B is the length of the major base
b is the length of the minor base
h is the height of the trapezoid
In this problem, the glass window has the shape of a trapezoid. We know that:
B = 2 cm is the length of the top base
b = 4.5 cm is the length of the bottom base
 is the area of the trapezoid
 is the area of the trapezoid
Solving for h, we can find the height of the stained glass window:

 
        
             
        
        
        
Subtract 42 from 44.92 and then divide by 42. So it is 7%