$$\text { Find the value of } d ^ { 2 } y / d x ^ { 2 } \text { at the point defined by the given value of } t \text {. }$$

question 120

Multiple Choice

$$\text { Find the value of } d ^ { 2 } y / d x ^ { 2 } \text { at the point defined by the given value of } t \text {. }$$
- $$x = \tan t , y = 9 \sec t , t = \frac { 3 \pi } { 4 }$$

• A) \(- \frac { 9 } { 2 }\)
• B) \(- \frac { 9 \sqrt { 2 } } { 4 }\)
• C) \(9 \sqrt { 2 }\)
• D) \(\frac { \sqrt { 2 } } { 4 }\)

---

Definitions:

Population Standard Deviation

Represents the degree to which individual data points in a full set deviate from the population mean, giving insight into the variability within the entire group.

Standard Deviation

A statistical measure that quantifies the amount of variation or dispersion of a set of data values, indicating how spread out the data points are from the mean.

Set of Data

A collection of numbers or values that are usually related and can be analyzed statistically.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in a data set differ from the mean.