Verify That the Function Satisfies the Three Hypotheses of Rolle's $$f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 6 x + 1 , [ 0,4 ]$$

question 20

Multiple Choice

Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. $$f ( x ) = x ^ { 3 } - 5 x ^ { 2 } + 6 x + 1 , [ 0,4 ]$$

• A)
• \[c = 2 + \frac { 2 \sqrt { 3 } } { 3 }\]
• B)
• \[c _ { 1 } = \frac { 5 } { 3 } + \frac { \sqrt { 7 } } { 3 } , c _ { 2 } = \frac { 5 } { 3 } - \frac { \sqrt { 7 } } { 3 }\]
• C)
• \[c _ { 1 } = 12 + \frac { \sqrt { 2 } } { 3 } , c _ { 2 } = 12 - \frac { \sqrt { 2 } } { 3 }\]
• D)
• \[c = 2 - \frac { 2 \sqrt { 3 } } { 3 }\]
• E)
• \[c _ { 1 } = 2 + \frac { 2 \sqrt { 3 } } { 3 } , c _ { 2 } = \frac { 2 \sqrt { 3 } } { 3 }\]

Identify different methods and responsibilities involved in conducting orientation.

Explain the process of giving new employees essential information for their roles.

Comprehend the benefits of employee orientation for organizational performance and employee integration.

Understand the concept of lifelong learning and its impact on employee development.

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