Find the Surface Area of the Surface Z = Xy $x ^ { 2 } + y ^ { 2 } = 1$

question 18

Essay

Find the surface area of the surface z = xy inside the cylinder $x ^ { 2 } + y ^ { 2 } = 1$ .

---

Definitions:

Specificity

The ability of a test to correctly identify those without the disease (true negative rate).

Negative Predictive Value

is the proportion of negative test results that are truly negative, indicating how well a test identifies individuals who do not have a disease.

High Sensitivity

The capability of an assessment to accurately detect individuals who have the disease (true positive rate).

Low Specificity

A characteristic of a diagnostic test that indicates a high likelihood of false positives, meaning it often indicates a disease or condition is present when it is not.