Calculus
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verify that the function satisfies the three hypotheses of rolle's theoreom on the given interval then find all numbers c that satisfy the conclusion of rolle's theorem.
1) 512x+3x^2 [1,3]

Calculus 
MathMate
To see if Rolle's theorem applies, check
1. if the function is continuous on the closed interval [a, b].
2. if it is differentiable
on the open interval (a,b).
Furthermore,
3. check if f(a)=f(b).
If all the above conditions are satisfied, then there exists some value c between a and be such that f(c)=0.
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