Curve, x-axis, and a line

In summary, the conversation is about finding the area bounded by a curve, the x-axis, and a line. The suggestion is to find the intersection point of the two lines and integrate the difference between the two expressions. There is also a suggestion to think of the "height" of the figure as running in the x-direction and integrating with respect to y.
  • #1
tuly
4
0
hello everybody...please could you help me find the solution for this problem??

find the area bounded by the curve Y=X^1/2, the x-axis, and the line 2X+3Y=6.
 
Physics news on Phys.org
  • #2
Find the intersection point of the two lines to get an idea of your limits of integration. After that you'll want to integrate the difference of the two expressions to find the area between them.
 
  • #3
1. whozum's suggestion

2. Are you sure you copied this correctly? This looks like a homework problem (and so, really should be in the homework section!) and my experience is that, in homework problems, the point of intersection works out more simply than this does.

3. You may find it easier to think of the "height" of the figure as running in the x-direction and integrating with respect to y.
 
  • #4
thank u

thanks for your help...
 

1. What is a curve?

A curve is a line that continuously changes direction, rather than going in a straight line. It can be created by connecting a series of points on a graph or by using a mathematical equation.

2. What is the x-axis?

The x-axis is the horizontal line on a graph, typically running from left to right. It is used to represent the independent variable or input of a function.

3. What is the difference between a curve and a line?

A curve is a type of line that changes direction, while a line is a straight path connecting two points. A curve may also have multiple points and bends, while a line only has two points.

4. How do you plot a curve on a graph?

To plot a curve on a graph, you can either use a set of data points or a mathematical equation. For data points, you would plot each point on the graph and then connect them with a smooth line. For a mathematical equation, you would use the equation to calculate the y-coordinate for a given x-value, and then plot those points and connect them with a smooth line.

5. How does the slope of a line relate to the x-axis?

The slope of a line is the measure of how steep it is. On a graph, it is represented by the change in y-values over the change in x-values. The x-axis represents the independent variable, so the slope of a line can change as the x-value changes.

Similar threads

  • Introductory Physics Homework Help
Replies
8
Views
1K
  • Introductory Physics Homework Help
2
Replies
64
Views
2K
  • Introductory Physics Homework Help
Replies
10
Views
513
  • Introductory Physics Homework Help
Replies
4
Views
1K
  • Introductory Physics Homework Help
Replies
3
Views
1K
  • Introductory Physics Homework Help
Replies
1
Views
193
  • Introductory Physics Homework Help
Replies
4
Views
114
  • Introductory Physics Homework Help
Replies
12
Views
1K
Replies
0
Views
229
  • Introductory Physics Homework Help
2
Replies
40
Views
886
Back
Top