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Let f:[2,7]→[0,∞) be a continuous and differentiable function such that (f(7)−f(2))(f(7))2+(f(2))2+f(7)f(2)3=kf2(c)f′(c), where c∈(2,7). Then the value of k is

Answer» Let f:[2,7][0,) be a continuous and differentiable function such that (f(7)f(2))(f(7))2+(f(2))2+f(7)f(2)3=kf2(c)f(c), where c(2,7). Then the value of k is


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