)FARADAY JR said:
)Ok, Sotiny-tim said:Hi FARADAY JR!
(pleeease don't give different threads the same name!
(where did √3x-12=0 come from?
just replace y2 by x2
FARADAY JR said:
… where did that x on the RHS come from? tiny-tim said:nooo
)The concept of "finding the area between curves" involves calculating the area enclosed by two curves on a graph. It is used to solve various mathematical and scientific problems, such as determining the volume of a solid or the work done by a force.
To find the area between two curves, you first need to identify the points of intersection between the two curves. Then, you can use integration to find the definite integral of the difference between the two curves over the interval between the points of intersection.
Finding the area between curves has many real-life applications, such as calculating the volume of irregularly shaped objects, determining the amount of paint needed to cover a curved surface, and estimating the work done by a force in physics.
Some common challenges when finding the area between curves include accurately identifying the points of intersection, choosing the correct integration method, and handling complex curves or multiple curves within the same interval.
While "finding the area between curves" is a useful tool in problem-solving, it does have its limitations. It may not be applicable in certain situations where the curves are too complex or when the area is non-existent, such as with curves that do not intersect or when the area extends to infinity.