Question

Q1. Let  f be a twice differentiable function on R.Given that f''(x)>0 for all x element of R.Then which one is true and why?

a.f(x)=0 has exactly two solutions on R.

b.f(x) =0 has a positive solution if f(o)=0 and f'(0)=0

c.f(x)=0 has no positive solution if f(o)=0 and f'(o)>0.

4. f(x)=0 has no positive solution if f(0)=0 and f'(0)<0

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