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Let f(x) and g(x) are differentiable function such that g(x)=f(x)cosx+f′(x)sinx in [0,2π] and 0<a<b<c<d<2π,f(a)=0,f(b)=−4,f(c)=9,f(d)=0,f(π)≠0, then the minimum number of zero(s) for g(x)=0 is

Answer» Let f(x) and g(x) are differentiable function such that g(x)=f(x)cosx+f(x)sinx in [0,2π] and 0<a<b<c<d<2π,f(a)=0,f(b)=4,f(c)=9,f(d)=0,f(π)0, then the minimum number of zero(s) for g(x)=0 is




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