How Do You Calculate Intersection Points of Two Graphs?

  • Thread starter Thread starter sam1390
  • Start date Start date
  • Tags Tags
    Graph
AI Thread Summary
To calculate the intersection points of two graphs, set the equations equal to each other to find where their values match. In this case, the equations are (7x)/(x^2+1) and (x^2+2x+5)/(x+2). Solving for x will yield the points where the two graphs intersect. This method effectively identifies the x-values at which the graphs touch. Finding these intersection points is essential for understanding the relationship between the two functions.
sam1390
Messages
1
Reaction score
0
i have two graphs, i need to know how to calculate the points where the two graphs touch.

in my case there are two points.

do i have to make the equation equal or something?

the two equations are (7x)/(x^2+1)

and (x^2+2x+5)/(x+2)
 
Physics news on Phys.org
Welcome to PF.

You mean that you have 2 equations Y(x).

And you want to identify where the values of Y are equal between the 2 equations.

Maybe if you set one = to the other and solved for x ...?
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Graphing Elastic Potential Energy
Replies
10
Views
2K
Confusion Calculating Young's Modulus
Replies
5
Views
2K
What is the intersection point of two objects on a position vs time graph?
Replies
10
Views
2K
Analyse motion of an oscillator: x(t)=0.2cos(12*pi*t)
Replies
5
Views
1K
Wave interference, "beats" problem
Replies
19
Views
1K
Two networks described by v-i graph: Find voltages when interconnected
Replies
1
Views
1K
Distance-time graph of a ball throw vertically up from a fixed point
Replies
5
Views
2K
Graphically determining the focal length of a converging lens
Replies
4
Views
2K
Graphing the Superposition of Two Standing Waves
Replies
8
Views
2K
Uncertainty in the intersection of two lines with error bars
Replies
16
Views
6K

Hot Threads

Recent Insights

Back
Top