Reference no: EM131009281
1. The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (-3, 0) where f'(c)=0.
f(x) = x3 + 6x2 + 9x, [-3, 0].
2. The function defined below satisfies Rolle's Theorem on the given interval. Find the value of c in the interval (-4, -2)where f'(c)=0.
f(x) = x + 8x-1 , [-4, -2].
3. The function defined below satisfies the Mean Value Theorem on the given interval. Find the value of c in the interval (1, 2) where f'(c)=(f(b) - f(a))/(b - a).
f(x) = x3 - 1.5x , [1, 2].
4.The function defined below satisfies the Mean Value Theorem on the given interval. Find the value of c in the interval (1, 2) where f'(c)=(f(b) - f(a))/(b - a).
f(x) = 1.1x-1 + 1.6 , [1, 2].
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