uestion 9: This question was supposed to be about the Mean Value Theorem. The function g(t) = (t)^2 + t + 1, only part of this problem was erased. Indeed, the interval where we are examining g(t) has been left half written as [0, d], where d>3.  We know that g(t) satisfies the conclusion of the Mean Value Theorem at exactly one point in this half-forgotten interval at t = 3. Use this information to figure out the value of d.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 51E
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Question 9: This question was supposed to be about the Mean Value Theorem. The function g(t) = (t)^2 + t + 1, only part of this problem was erased. Indeed, the interval where we are examining g(t) has been left half written as [0, d], where d>3. 

We know that g(t) satisfies the conclusion of the Mean Value Theorem at exactly one point in this half-forgotten interval at t = 3. Use this information to figure out the value of d. 

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