What is the area bounded by Y=X^1/2, the x-axis, and 2X+3Y=6?

  • Thread starter Thread starter tuly
  • Start date Start date
  • Tags Tags
    Curve Line
AI Thread Summary
To find the area bounded by the curve Y=X^1/2, the x-axis, and the line 2X+3Y=6, first determine the intersection points of the curve and the line to establish limits of integration. The area can be calculated by integrating the difference between the two functions. Some participants suggest considering the integration with respect to y for simplicity. It is noted that this problem resembles a typical homework question, implying that the intersection points may yield simpler values. The discussion emphasizes the importance of correctly identifying the limits and the method of integration for accurate results.
tuly
Messages
4
Reaction score
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
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.
 
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.
 
thank u

thanks for your help...
 

Thread 'Errors and significant figures'

I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
View full post »
Thread 'A cylinder connected to a hanging mass'

Thread 'A cylinder connected to a hanging mass'

Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
View full post »

Similar threads

Area Under Frequency versus Time Curve meaning?
Replies
8
Views
2K
Finding electric potential of an infinite line charge at z axis
2
Replies
64
Views
4K
Determine the x- and y-coordinates of the trapezoidal shape.
Replies
2
Views
3K
Rationalize the denominator: ##\sqrt{\dfrac{1}{2x^3y^5}}##
Replies
6
Views
2K
Particle constrained on a curve
Replies
9
Views
2K
Torque on a Circular Current Loop under a Misaligned Magnetic Field
Replies
1
Views
947
Switching reference frames between two intersecting lines
Replies
10
Views
995
Find the bounds after changing the variables in a double integral
Replies
5
Views
2K
Question on Two Differentiation Techniques
Replies
25
Views
2K
Show that the equipotential lines are circles
Replies
16
Views
3K

Hot Threads

Recent Insights

Back
Top