The graph below shows graph of f (x), its derivative f '(x), and its second derivative f "(x). Which of the following is the correct statement?
A is f ', B is f, C is f ".
A is f ", B is f, C is f '.
A is f ', B is f ". C is f.
A is f, B is f ', C is f ".
I believe B is the original, C the first derivative, and A is the second derivative. Can someone please confirm this for me? Thank you!

A is f ", B is f, C is f '.

Step-by-step explanation:

Your answer is correct.  B is the original function f.  It has a local maximum at x=0, and local minimums at approximately x=-3/2 and x=3/2.

C is the first derivative.  It crosses the x-axis at each place where B is a min or max.  C itself has a local maximum at approximately x=-3/4 and a local minimum at approximately x=3/4.

Finally, A is the second derivative.  It crosses the x-axis at each place where C is a min or max.

32/80  

91/140

the last one 54 doesn't go into 45. 54/100 ?

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584