Answer:
11.691
Step-by-step explanation:
Too lazy to wright, sorry.
 
        
                    
             
        
        
        
Answer:
(1,4)
Step-by-step explanation:
 
        
                    
             
        
        
        
Answer:
Step-by-step explanation:
given a point  the equation of a line with slope m that passes through the  given point is
 the equation of a line with slope m that passes through the  given point is 
 or equivalently
 or equivalently 
 .
. 
Recall that a line of the form  , the y intercept is b and the x intercept is
, the y intercept is b and the x intercept is  .
. 
So, in our case, the y intercept is  and the x  intercept is
 and the x  intercept is  .
. 
In our case, we know that the line is tangent to the graph of 1/x. So consider a point over the graph  . Which means that
. Which means that 
The slope of the tangent line is given by the derivative of the function evaluated at  . Using the properties of derivatives, we get
. Using the properties of derivatives, we get 
 . So evaluated at
. So evaluated at  we get
 we get 
Replacing the values in our previous findings we get that the y intercept is 

The x intercept is 

The triangle in consideration has height  and base
 and base  . So the area is
. So the area is 

So regardless of the point we take on the graph, the area of the triangle is always 2. 
 
        
             
        
        
        
The answer to this question is 7
        
                    
             
        
        
        
Answer:
0.19512195122
Step-by-step explanation: