The Vertex of a Parabola Occurs Where the Derivative of Its

question 218

Multiple Choice

The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a
parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the
parabola and its associated equation.
-Between $x = 0$ and $x = 8$ , the largest value of the expression $y = x ^ { 3 } - 15 x ^ { 2 } + 63 x + 18$ occurs where $3 x ^ { 2 } - 30 x + 63 = 0$ . Of the values of $x$ that satisfy $3 x ^ { 2 } - 30 x + 63 = 0$ , which gives the maximum value of $y = x ^ { 3 } - 15 x ^ { 2 } + 63 x + 18 ?$

• A) \(x = 2\)
• B) \(x = 3\)
• C) \(x = 6\)
• D) \(x = 7\)

Understand the vestibular and kinesthetic systems and their roles in movement and balance.

Define and discuss the phenomenon of phantom limb and its underlying sensory perceptions.

Identify the primary structures involved in the olfactory system and the consequences of damage to these structures.

Explain the condition of synesthesia and its effects on sensory perception.

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