f - green (A)
f' - red (B)
f'' - blue (C)
The graph of f attains local extrema at the same points that f' = 0. There's evidence of this at x = 0 and between x = 3 and x = 3.5. (At both points, curve A attains a maximum, while curve B crosses the x-axis.)
Similarly, the graph of f' attains local extrema at the same points that f'' = 0. This is seen between x = 1.5 and x = 2. (B has a max, C crosses axis)
Also, the graph of A is continuous at x = 1.5 but exhibits a sharp turn, so at this point f is not differentiable and the graph of f' (and subsequently f'') is not continuous.
Answer:
point slope form
y-y1=m(x-x1) where
m=slope and you are given a point (x1,y1)
slope=-5
point is (2,-1)
x1=2
y1=-1
m=-5
so
y-(-1)=-5(x-2)
y+1=-5(x-2) is answer
Answer:
c=36
Step-by-step explanation:
Given the equation 
We are to determine the value of c for which y has only one zero.
For the general form of a quadratic equation 
, we can use the Discriminant to determine the nature of the roots.
If the Discriminant, 
, then the equation has equal roots, i.e. one x-intercept.
When c=36, the equation has only one root.
The equation therefore is:
Answer:
2
Step-by-step explanation:
2x - 3 > 11 - 5x
+5x +5x
7x - 3 > 11
+3 +3
7x > 14
x > 14/7
x = 2
Answer:
282 + d
Step-by-step explanation:
Number of miles driven by Deandre for week 1 = 282 miles
Number of miles for week 2 = d
Total number of miles driven for two weeks can be expressed as:
(282 + d) miles
