A Point Is Moving Along the Graph of the Function $y = 9 x ^ { 2 } + 4$

question 21

Multiple Choice

A point is moving along the graph of the function $y = 9 x ^ { 2 } + 4$ such that $\frac { d x } { d t } = 3$ centimeters per second. Find dy/dt for the given values of x. (a) $x = 4~~~~~~~~~~~~~~~~~~~~~~~~~~$ (b) $x = 7$

• A) \(\frac { d y } { d t } = 4\) \(\frac { d y } { d t } = 378\)
• B) \(\frac { d y } { d t } = 216\) \(\frac { d y } { d t } = 378\)
• C) \(\frac { d y } { d t } = 378\) \(\frac { d y } { d t } = 216\)
• D) \(\frac { d y } { d t } = 7\) \(\frac { d y } { d t } = - 216\)
• E) \(\frac { d y } { d t } = 7\) \(\frac { d y } { d t } = 378\)

---

Definitions:

Wheezing

A high-pitched whistling sound made while breathing, often associated with respiratory illness or asthma.

Pyothorax

The accumulation of pus in the pleural cavity between the lung and the chest wall, often due to infection.

Py/o

A prefix in medical terms indicating the presence of pus.

Influenza

A viral infection that attacks the respiratory system, commonly known as the flu.