Answer:
The answer is b.
Step-by-step explanation:
 
        
             
        
        
        
Answer:
The graph is sketched by considering the integral. The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    
Step-by-step explanation:
We sketch the integral ∫π/40∫6/cos(θ)0f(r,θ)rdrdθ. We consider the inner integral which ranges from r = 0 to r = 6/cosθ. r = 0 is located at the origin and r = 6/cosθ is located on the line  x = 6 (since x = rcosθ here x= 6)extends radially outward from the origin. The outer integral ranges from θ = 0 to θ = π/4. This is a line from the origin that intersects the line x = 6 ( r = 6/cosθ) at y = 1 when θ = π/2 . The graph is the region bounded by the origin, the line x = 6, the line y = x/6 and the x-axis.    
 
        
             
        
        
        
Answer: The coordinates of the vertex are : (-1,-2)
Step-by-step explanation: To find the x coordinate, we use the formula:
Xv = -b/2a = -6/(2.3) = -6/6 = -1
Replacing x by -1, we write:
 y = 3. (-1)^2 + 6. (-1) +1 = 3 - 6 + 1 = -2
 
        
             
        
        
        
Answer:
-47
Step-by-step explanation:

 
        
             
        
        
        
The 100th term would be 505.