Answer:
Step-by-step explanation:
The Mean Value Theorem says that for continuous and differentiable function f(x) on the interval ( a, b ) there is number c ∈ ( a, b ) that
f'(c) = [tex]\frac{f(b)-f(a)}{b-a}[/tex] ....... (1)
~~~~~~~~~~~~~~~~
f(5) = 44
f(0) = - 1
5 - 0 = 5
f'(x) = 2x + 4 ⇒ f'(c) = 2c + 4
2c + 4 = [tex]\frac{44+1}{5}[/tex]
2c + 4 = 9 ⇒ c = [tex]\frac{5}{2}[/tex] (D).
