Answer:
x - 8y - z = 1 
Step-by-step explanation:
Data provided according to the question is as follows 
f(x,y) = z = ln(x - 8y)
Now the equation for the tangent plane to the surface 
For z = f (x,y) at the point P  is
 is 

Now the partial derivatives of f are 


= 1 
Now 

= -8
So, the tangent equation is
 
Now after solving this, the following equation arise 
z = x - 9 - 8y + 8
z = x - 8y - 1
Therefore 
x - 8y - z = 1
 
        
             
        
        
        
according to the question
3x-1=0
3x=1
x=⅓
so
f(x)=18x³+x-1
f(⅓)=18.(⅓)³+⅓-1
f(⅓)=18.⅓.⅓.⅓+⅓-1
f(⅓)=6.⅑+⅓-1
f(⅓)=⅔+½-1
f(⅓)=0
<h3>therefore</h3><h3> the remainder is 0</h3>
 
        
             
        
        
        
Answer:98.9276
Step-by-step explanation:
The table displays the amount of time, in minutes, Jordan rode his bike for five days.  How many total hours did Jordan ride his bike in the five days?  DayTime (minutes)11  4545  22  109109  33 5151 44  121121  55  3838  Jordan rode his bike  total hours in the five days.
 
        
             
        
        
        
Answer:
(2,4)
Step-by-step explanation:
the point where the lines intercept is the solution, so it is (2,4)
 
        
                    
             
        
        
        
the answer is a) because its the numerator is bigger than the denominator