# What are cross sections in calculus?

Space and Astronomy## What does cross-section mean in calculus?

A cross section of a solid is **a plane figure obtained by the intersection of that solid with a plane**. The cross section of an object therefore represents an infinitesimal “slice” of a solid, and may be different depending on the orientation of the slicing plane.

## How do you do a cross-section in calculus?

Video quote: *If it's in terms of y then the cross sections has to be perpendicular to the y axis. So for this problem the cross sections are perpendicular to the x-axis.*

## What is a cross-section of a function?

Cross-Sections of the Graph of a Function. For a function f(x, y), **the function we get by holding x fixed and letting y vary** is called a cross-section of f with x fixed. The graph of the cross-section of f(x, y) with x = c is the curve, or cross-section, we get by intersecting the graph of f(x, y) with the plane x = c.

## What is cross-section in simple terms?

Definition of cross section

1a : **a cutting or piece of something cut off at right angles to an axis** also : a representation of such a cutting. b : section sense 3b. 2 : a measure of the probability of an encounter between particles such as will result in a specified effect (such as scattering or capture)

## What is a cross section of rock?

A cross section or cross-section, in geology, is **a diagram representing the geologic features intersecting a vertical plane**, and is used to illustrate an area’s structure and stratigraphy that would otherwise be hidden underground.

## What is cross section in survey?

Cross-sectional surveys **provide a snapshot of a population’s characteristics and what is happening at any one moment in time**. They can be population-based by carrying out household surveys through random sampling or they can be conducted with health services and schools.

## What is cross-section and longitudinal section?

Longitudinal studies and cross-sectional studies are **two different types of research design**. In a cross-sectional study you collect data from a population at a specific point in time; in a longitudinal study you repeatedly collect data from the same sample over an extended period of time.

## What is the difference between profile Levelling and cross sectioning?

**There is really no difference in procedure between profile and cross-section leveling except for the form of the field notes**. Cross-section rod shots are usually taken during the route profile survey from the same instrument positions used to take rod shots along the centerline.

## Why are cross-sectional studies used?

Cross-sectional studies are used **to assess the burden of disease or health needs of a population** and are particularly useful in informing the planning and allocation of health resources. A cross-sectional survey may be purely descriptive and used to assess the burden of a particular disease in a defined population.

## What are the variables in a cross-sectional study?

Study different variables at the same time

Cross-sectional studies examine a population and draw conclusions from that group. This means that researchers can analyze that group and study different variables at the same time. Variables of a population could include **gender, age, income or level of education**.

## What is cross-sectional data examples?

Cross-sectional data refer to observations of many different individuals (subjects, objects) at a given time, each observation belonging to a different individual. A simple example of cross-sectional data is the **gross annual income for each of 1000 randomly chosen households in New York City for the year 2000**.

## What is the difference between cross-sectional and longitudinal studies?

Longitudinal studies differ from one-off, or cross-sectional, studies. The main difference is that **cross-sectional studies interview a fresh sample of people each time they are carried out, whereas longitudinal studies follow the same sample of people over time**.

## Is cross-sectional data primary or secondary?

secondary analysis

However, in modern epidemiology it may be impossible to survey the entire population of interest, so cross-sectional studies often involve **secondary analysis** of data collected for another purpose. In many such cases, no individual records are available to the researcher, and group-level information must be used.

## Is cross-sectional or longitudinal better?

longitudinal study

The benefit of a **cross-sectional** study design is that it allows researchers to compare many different variables at the same time. In a longitudinal study, researchers conduct several observations of the same test subjects over a period of time that could last many years.

## Can a study be both cross-sectional and longitudinal?

The simplest longitudinal descriptive study consists of two repeated cross-sectional studies on the same population or samples, looking for the same measurements. **Yes – repeated cross-sectional analysis can be longitudinal as you are repeatedly measuring something.**

## Is cross-sectional study quantitative or qualitative?

quantitative

**Most cross-sectional studies are quantitative**. They gather data through interviews, questionnaires, and focus groups over a certain period in time which may be in the past or the present, and then analyze the results.

## When we try to explain the relationship among variables the study is called?

**Correlational studies** are used to show the relationship between two variables. Unlike experimental studies, however, correlational studies can only show that two variables are related—they cannot determine causation (which variable causes a change in the other).

## How do we know if there is a relationship between two or more variables?

Regression. **Regression analysis** is used to determine if a relationship exists between two variables. To do this a line is created that best fits a set of data pairs. We will use linear regression which seeks a line with equation that “best fits” the data.

## Is Grounded Theory a methodology?

**Grounded theory is a well-known methodology employed in many research studies**. Qualitative and quantitative data generation techniques can be used in a grounded theory study. Grounded theory sets out to discover or construct theory from data, systematically obtained and analysed using comparative analysis.

## How variable is handled or manipulated?

**The manipulated or independent variable is the one that you control**. The controlled variable is the one that you keep constant. The responding variable or variables is what happens as a result of the experiment (i.e. it’s the output variable).

## Is a placebo a dependent variable?

When a researcher gives an active medication to one group of people and a placebo, or inactive medication, to another group of people, the independent variable is the medication treatment. **Each person’s response to the active medication or placebo is called the dependent variable.**

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