Margaret has some goats.
1 answer:
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Answer:
Yes, Rolle's theorem can be applied
There is only one value of c such that f'(c) = 0, and this is c = 1.5 (or 3/2 in fraction form)
Step-by-step explanation:
Yes, Rolle's theorem can be applied on this function because the function is continuous in the closed interval (it is a polynomial function) and differentiable in the open interval, and f(a) = f(b) given that:
Then there must be a c in the open interval for which f'(c) =0
In order to find "c", we derive the function and evaluate it at "c", making the derivative equal zero, to solve for c:
There is a unique answer for c, and that is c = 1.5
We know area of triangle =
In triangle ABC , AB is the base and BC is the height
Now we find the distance between A and B
Distance formula is
A(0,3), B(7,3)
Distance AB =
= = 7
B(7,3), C(7,7)
Distance BC =
= = 4
area of triangle =
area of triangle =
= = 14