Answer:
   see attached
Step-by-step explanation:
The equation is in the form ...
   4p(y -k) = (x -h)^2 . . . . . (h, k) is the vertex; p is the focus-vertex distance
Comparing this to your equation, we see ...
   p = 4, (h, k) = (3, 4)
p > 0, so the parabola opens upward. The vertex is on the axis of symmetry. That axis has the equation x=x-coordinate of vertex. This tells you ...
   vertex: (3, 4)
   axis of symmetry: x = 3
   focus: (3, 8) . . . . . 4 units up from vertex
   directrix: y = 0 . . . horizontal line 4 units down from vertex
 
        
             
        
        
        
(a) The "average value" of a function over an interval [a,b] is defined to be 
(1/(b-a)) times the integral of f from the limits x= a to x = b. 
Now S = 200(5 - 9/(2+t)) 
The average value of S during the first year (from t = 0 months to t = 12 months) is then: 
(1/12) times the integral of 200(5 - 9/(2+t)) from t = 0 to t = 12 
or 200/12 times the integral of (5 - 9/(2+t)) from t= 0 to t = 12 
This equals 200/12 * (5t -9ln(2+t)) 
Evaluating this with the limits t= 0 to t = 12 gives: 
708.113 units., which is the average value of S(t) during the first year. 
(b). We need to find S'(t), and then equate this with the average value. 
Now S'(t) = 1800/(t+2)^2 
So you're left with solving 1800/(t+2)^2 = 708.113 
<span>I'll leave that to you</span>
        
             
        
        
        
Answer:
: Stroke Brain cells do not get the nutrients they need if blood flow to the brain …
Step-by-step explanation:
 
        
             
        
        
        
It should be 54 because height times width
        
             
        
        
        
2 is the correct answer....gitty up