Answer:

this is the equation of the tangent at point (-1,1/e)
Step-by-step explanation:
to find the tangent line we need to find the derivative of the function g(x).

- we know that  


this the equation of the slope of the curve at any point x and it also the slope of the tangent at any point x. hence, g'(x) can be denoted as 'm'
to find the slope at (-1,1/e) we'll use the x-coordinate of the point i.e. x = -1

using the equation of line: 

we'll find the equation of the tangent line. 
here (x1,y1) =(-1,1/e), and m = 3/e


this is the equation of the tangent at point (-1,1/e)
 
        
             
        
        
        
Answer:
A. 
Step-by-step explanation:
We are given,
The cost of one book = $2.25
Since, it takes $2.25 to buy 1 book.
The, for $10, we can get  i.e.
 i.e.  = 4.44
 = 4.44
Since, number of books cannot be in decimals.
So, the closest integer to 4.44 is 4.
Hence, we can buy 4 books from $10.
Now, according to the options:
A. 
B. 
C. 
D. 
Hence, we see that from the options, A is correct.
 
        
                    
             
        
        
        
The exponent 4 needs to be applied to both 3 and x, so we would have:
3 * 3 * 3 * 3 * x^4.
9 * 9 * x^4.
81x^4
        
                    
             
        
        
        
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