Integration Help: Finding x-coord of Point A with y= bx(x -2)

  • Context: MHB 
  • Thread starter Thread starter kais001
  • Start date Start date
  • Tags Tags
    Integration
Click For Summary
SUMMARY

The discussion revolves around solving the equation of the curve y = bx(x − 2) to find the value of b and the x-coordinate of point A that divides the shaded area into equal parts. The user successfully determined that b = -3, which is crucial for further calculations. The next step involves using this value to find the x-coordinate of point A, which requires additional mathematical analysis of the area under the curve.

PREREQUISITES
  • Understanding of polynomial equations and their graphs
  • Knowledge of area calculation under curves
  • Familiarity with integration techniques
  • Basic algebra skills for solving equations
NEXT STEPS
  • Study integration methods for finding areas under curves
  • Learn about the properties of polynomial functions
  • Explore techniques for solving for coordinates in geometric contexts
  • Review the concept of dividing areas into equal parts using lines
USEFUL FOR

Students studying calculus, mathematics enthusiasts, and educators looking to enhance their understanding of polynomial area problems.

kais001
Messages
2
Reaction score
0
hey guys,
I am stuck on a question which is
The curve in the picture shown has equation y = bx(x − 2).
(a) Find b given that the shaded area is 4 units 2
(b) Find the x−coordinate of the point A if the line OA divides the shaded area into equal parts.



Ive done part (a) which shows b=-3. From here I am a little stuck. any help would be appreciated
 
Physics news on Phys.org
Hello and welcome to MHB, kais001! :D

I would invite you to read the following thread, in which this problem is discussed:

http://mathhelpboards.com/questions-other-sites-52/phyllis-question-yahoo-answers-regarding-finding-line-divides-area-into-equal-parts-7197.html
 
well that handles that quite nicely! I am about to head off for the night but tomorrow ill go over it, if i have any questions do you mind answering them? and thankyou very much for that!
 
kais001 said:
well that handles that quite nicely! I am about to head off for the night but tomorrow ill go over it, if i have any questions do you mind answering them? and thankyou very much for that!

Yes, please feel free to post any questions and I or one of our other helpers will be glad to assist. :)
 

Similar threads

High School Why is this definite integral a single number?
  • · Replies 20 ·
Replies
20
Views
4K
MHB Finding x of line bisecting parabola
  • · Replies 4 ·
Replies
4
Views
2K
High School Calculating shaded area: I'm getting discrepancies between methods
  • · Replies 3 ·
Replies
3
Views
3K
Undergrad Find f(z) given f(x, y) = u(x, y) + iv(x,y)
  • · Replies 8 ·
Replies
8
Views
886
Undergrad The Basic Area Problem (introduction to the topic of integrals)
  • · Replies 24 ·
Replies
24
Views
4K
MHB Triple Integrals: Finding Volume of Solid S Bounded by Planes
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Question about Integrals to Determine Volume vs Surface Area
  • · Replies 5 ·
Replies
5
Views
3K
MHB Solve Complex Integration: Find 2.36 Area of y=-x/2e+1/e+e & y=e^x/2
  • · Replies 10 ·
Replies
10
Views
2K
Undergrad Find the area enclosed by the curve y = x csch(x+y)
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Why is the integral of ##\arcsin(\sin(x))## so divisive?
  • · Replies 3 ·
Replies
3
Views
3K